As long as communication between you two is good, then your relationship will succeed.
I've dated hearing women before. One was wonderful and I would pursue a relationship with her if the opportunity arose. Another was okay. She was fluent in sign language, but she always ended up not signing whenever she was around hearing people.
My friends have gone through the same thing. One deaf guy I know dated a hearing gal who was an interpreter major. Whenever he invited her with him, he always made sure that she wasn't left out and everyone got along fine. However, when she invited him to her hearing gatherings... she would end up leaving him out and he would be bored. No matter how many times she apologized, it never worked out.
With me, I would rather date a deaf girl because that's the only way I can maintain my deaf life. When I date hearing people, my parents immediately treat them like my interpreter. :roll: