The typical solution to this is to require her to refinance the property. I'd personally insist on her refinancing into a mortgage in only her name before signing either the quit claim deed or the divorce agreement. Sometimes people say "Oh, we'll give them X years to refinance" and put terms to that effect in their divorce agreement. I would not trust an ex-spouse that much personally.
I think that where I live it is normal to put refi language into the divorce judgement to refi within a few months of the judgement being final. I'm not a lawyer and that's not legal advice.
The problem with doing things this way is that the ex-spouse who obligates themselves to refinance the house may not do so for any number of reasons. Interest rates go up or they lose their job or get a pay cut or they take on other debt and can't qualify.
The only recourse at this point that I know of for the other spouse (OP in this case) with any teeth at all is to move for contempt of court, which could be costly, time consuming, irritating to both parties, and probably annoy the judge as well.
Then what? Ex-spouse comes into court, shares their sad story with the judge, says they're trying but they're having a hard time right now. Judge either (a) tells the parties to work it out in mediation, (b) overrides the decree and gives them more time, or (c) finds them in contempt and fines them or puts them in jail, or (d) something else. In none of those cases is the house refinanced.
I'm also neither a judge nor a lawyer, but I did go through a divorce once with a house and a mortgage involved.