Quoting JamieMommyOf4&Expecting:" Yes I know, but I rather Kae'dyn I have never really liked, I kinda liked Rae'dyn, my sister tryed to ... [snip!] ... was first born and thats how He got Kae'dyn Rae'yn. Since she was born every one has called her Rae so she won't remember. "
If everyone calls her Rae then you could make her first name Rae. Since you like Pearl it could be Rae Pearl. It seems a shame to change Rae if it suits her.
I have a cousin whose daughter is named Reannon but everyone calls her Rea for short. That could be another option for a first name. Just an idea.