as for a genre I would have to say that country would be great!!! but a more "gritty" pop or rock-ish genre would not be bad either.
But, first and foremost Debby IS NOT an artist. She is an actress. DC has had the great ability to find stars that can not just act,but can sing and maybe even dance as well.
Debby is not really one of those....she is basically just an actress that can sing if she needs to..but her abilities in acting are pretty much limitless!
we see her play a funny but mature nanny in Jessie and saw a her play a GREAT "country" girl that made you smile.

We have also see her play a mean diva in "The haunting hour" which I thought was an amazing performance! and we will get to see her play a recovering drug addict on Thursday in Private Practice...she is continuing to push her acting boundaries and I would honestly rather see her do that than pursue making a full album:)
One thing I believe she is VERY gifted in is writing...and I could see her writing a bunch of song for other artists.