Can I run my CD Player through a Phono Preamp?

I only have a single source and am currently running through a passive controller. There seems to be lots of phono preamps out there in my price range. Will the gain be too much? Perhaps a MM vs. a MC would be better?? If this is not possible, I'd be very interested in the technical reasons why - always trying to understand and learn from you folks. Thanx in advance.