If a non-singing musician is worth their salt and of any 'standard' they would relish the opportunity to work with a singer to help them develop their own skills set. True accompaniment is not about banging out the melody, and good musicians will always try and rise to new challenges of song interpretation when faced with them.

What the singer needs to do, is to be confident in what they sing and have faith in their own interpretive stamp on the song. It shouldn't be a battle or a compromise. just a coming together of like minds. I am a non-playing singer who has worked with some incredible professional musicians for song accompaniment, both for recording and in concert and it's worth the work believe me.

A small tip is that when possible, go and listen to instrumental workshops from time to time to get a better understanding of where musicians are coming from also - don't segregate, integrate.