So her remarks on Hearts looking to strengthen over the summer for a possible bid for the league title next season certainly raised an eyebrow.
When you bear in mind that the Edinburgh side, this time two years ago, were sweating on the good grace of their creditors to grant them a CVA (or be liquidated if they didn't), then the significance of such a statement is huge.
However, unlike previous Hearts owners who have made such intentions clear, she did add a cautionary note that any title challenge must be done within the club's budget.
No borrowing on tick for her.
And certainly no tax avoidance schemes that one other club employed not so long ago only for such a plan to kill them off.
Hearts have not won the league since 1960 and have come close on a handful of occasions ever since.
Most notably, the final day losses that saw the respective campaigns of 1965 and 1986 disappear like puffs of smoke in the cruellest manner possible.
Unlike other challenges, 1998 and 2006 for example, money was not chucked around like confetti back then - transfer budgets were set and kept to and only goal average and goal difference respectfully would do for Hearts on the final days of 65 and 86.
So a challenge can be made while avoiding going into the red.
How might this come about then?
For a start, the current squad as it is will not have the legs or savvy to crawl over the finishing line first.
While the team has done well to be on course (form collapse permitting) to finish third and qualify for Europe in the first season back since winning promotion, that state of affairs appears to be their glass ceiling.
To be fair, we are not talking about a radical overhaul here - just some minor tweaking.
Namely defence and attack.
Players can be brought in having looked good elsewhere and sometimes they manage to weave themselves into the team's fabric.
But at times you have to say to yourself and admit you got one wrong on the signing front.
Left-back Juwon Oshaniwa has not improved the team as many had hoped.
Yes he did reasonably well against Lionel Messi when playing for Nigeria in the last World Cup but after watching Juwon struggle against the lesser talents of Scottish football, one can only assume Messi took to the pitch on that occasion and had a very rare off-day.
The fact that fellow new signing from last summer, Igor Rossi, has had to switch from centre-half to cover for Oshaniwa at left-back (albeit he has done this rather well) shows that the Nigerian has not hit the standard required.
If given a second chance next season, he must raise his game - remember, Hearts let go of a very competent left-back in Adam Eckersley to accommodate him.
Otherwise, the scouting team must track down a replacement - and this time, get it right.
Ideally Hearts would have a centre-half pairing of Rossi and Alim Ozturk. But given the former has been needed to cover for Oshaniwa, that combination has hardly had a chance to establish itself.
Blazej Augustyn has blown hot and cold at times and with Jordan McGhee seemingly on his way to try his luck in England this summer, cover is needed in this department as well.
John Souttar has done well filling in at central defence when called upon, but Hearts signed him more for his midfield qualities than his defensive ones. He is required elsewhere on the pitch.
Hearts are spoilt for choice in midfield and need only look for new players in that role should one or more of the current crop leave for a big fee.
It is upfront that another major concern lies.
That last statement would appear to be a flimsy quibble given the Tynecastle side are one of the league's highest scorers - yet the feeling is that should be improved upon.
Osman Sow has been missed since his seven-figure move to China last January.
Abiola Dauda has only shown in patches what he can do and the club has already indicated that it is unlikely his loan move will not be made permanent.
Juanma meanwhile has gone completely off the boil.
Following his fine start to the campaign, it has become obvious why he hasn't fulfilled his potential with other clubs prior to joining Hearts.
There is clearly an issue with attitude and Hearts cannot be doing with carrying a passenger just because he fancies an extended sulk.
The club did well in getting a huge fee for Sow and a chunk of it must be put to use into finding two strikers who not only work well together, but won't go into the huff when their team needs them to score goals.
Much has been made about Hearts' style of play compared to last season.
Some uninformed plebs have moaned about why the team is not playing the fancy football that crushed all and sundry in the second tier - one cretin who 'blogs' for a respected newspaper's website has been claiming on social media that conspiracy is underfoot with Director of Football Craig Levein undermining manager Robbie Neilson.
The flowing football seen last season was great to watch but many forget that there's one heck of a difference employing it against weaker teams (most of whom are part-time) than there is using it against battle-hardened, firmly-established top division sides who can exploit the slightest gap left by yourselves to devastating effect.
Hearts tried to pick up where they left off at the start of the current campaign and found out the hard way that what worked well against the likes of Cowdenbeath and Rangers 2012, would be punished by a side like Aberdeen - a team genuinely going for the title this year.
That 3-1 defeat to the Dons earlier this season highlighted to Neilson that a more pragmatic approach needed to be adopted in order for Hearts to be where they are now.
And it has worked. In my mind had the open attack method had still been employed, Hearts would probably be scraping into the top six instead of going for Europe as they are now.
Not to mention, more questions being asked of Neilson's tactical capability.
The current gameplan could be an even bigger winner if Hearts are able to attract the right class of personnel to their playing ranks this summer.
If the tweaks needed can be successfully made, then perhaps - as Budge hinted at - a title challenge might be in the offing.
Enough to creep over the line first?
Time will be the final arbiter on that one.