Will this cause issue in buying a new home?

When I divorced 6 years ago, I signed a quit claim deed to the house my ex-wife and I owned giving her all ownership. She still lives in it and makes the payments. I am now wanting to buy a house of my own after years of renting but just found that my name is still on the mortgage because my ex never refinanced it out of my name. We had no stipulation for her to do so. I have no rights to the house b/c I signed the quit claim deed but am still financially responsible for the mortgage if she ever defaulted. Will this cause any issue for buying a new home?

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