Hi..
Just because you dont have perfect pitch, it doesn't mean you won't succeed musically.

Apparently the person who wrote the soundtrack for the movie Gladiator can't read a note of music. He does all his composition on computer. Look how successful he is and he can't read music!!

I have perfect pitch

and it is a great advantage. You know you can learn how to get relative pitch which is more or less the same thing as perfect pitch.
Good luck with your music studies!