There are several factors that go into getting approved for a mortgage. Income, debt ratio, down payment, credit score.
Talk to a local lender and submit an application. They'll be able to tell you if you qualify and if not, what you need to do in order to qualify.
Hopefully your divorce settlement is clearly written to show that although your name is on the mortgage, your wife is making the payments. Not sure if it'll help with qualifying for another mortgage, since even if it's written in the settlement, you're still technically obligated to pay if if she doesn't, but may help you.