Hearts boss John McGlynn remained cautious after a sell-out crowd of 16,443 saw the Jambos beat St Mirren 1-0 at Tynecastle.
The Edinburgh club was issued with a winding-up order last week after it was revealed they owed £450,000 in unpaid taxes to Her Majesty's Revenue and Customs.
Before kick-off, the club announced that more than £500,000 had been raised through a share issue but McGlynn admitted there is a long way to go before Hearts can resolve their financial problems.
He said: "We've got to put a brave face on things and show a good front but you are worried.
"We can't thank the people enough who put their hands in their pockets and bought the shares but there is still a long way to go.
"If anyone else can get the money together, then we want them to do that because we are not out of the woods yet."
"We can't thank the fans enough for their support, not only coming along but for the £500,000 in shares and the money the club has taken in.
"We wanted to give them a victory and we managed to achieve that.
"We can't do a lot off the pitch. We can go to some of the fundraising events and we can do bits and pieces, as the players have done this week.
"But the main place we can do it is on the pitch, that's where we can do our part and I felt that we did that today."