Disparate tastes in music can be a problem. Let's say she likes Christian rock, and you like Italian opera. This is okay if she can tolerate opera and you can tolerate Christian rock. From time to time she'll drag you to a Christian rock show. If you really can't deal with this then it's obviously best that you break it off cleanly. Most people don't mind sitting through a little of their least favorite music once in a while, though.
Food is a bigger problem. If you really have disparate tastes in food, it'll never work. (Ask her if she'll still let you do her even if you break up. Most girls won't go for that, but it's always worth asking.)
