Your hearing impairment should NOT prevent you from becoming a SLP. I recently lost the majority of hearing in my left ear and when I went to one of my professors (an SLP) concerned about it she told me that she, along with another professor of mine (also, an SLP), both had hearing loss! She reassured me that I would be fine!
As for a program denying you admission because of your loss....I am pretty sure that is against the law!