If there is a mortgage lien against the property, the situation could be even more complicated.
The Quit Claim deed transfers whatever ownership rights she had, but without warranting that she had any. This fact makes quit claims unusable when selling the property later. The spouse who quit claims would have to return to sign a warranty deed to transfer title to a new owner.
Quit claims are normally used when there is some question about whether the property has a claim or not, and the deed quiets that issue.
The mortgage loan, however, if made when you were married, continues to be a liability for both spouses until the lien is released. This means even if an ex-spouse deeds (warranty or quitclaim) the property, the loan can still be enforced against the ex-spouse as well as the one remaining owner.
Some will argue that the divorce decree protects them. Ask a lawyer if this is true or not. You'll need one in court if the question is to be decided. A new loan that pays off the old loan will release the old lien and create a new one without the ex.
On extremely rare occasions the bank will release an ex if the remaining spouse has sufficient assets and income, but it is so rare that you should consider it can't happen.