Oh you have to keep Honey! She's a real doll. My Hermione is just like your Honey personality wise and I couldn't love her more. I knew she was this way when I met her at the shelter I got her from but I didn't care, I knew she was unique. For what she lacks in cuddle factor she makes up for with her many hilarious "quirks.".
And sometimes I'll wake up in the middle of the night and find her sleeping next to me. It's really special when she does things like that.
Honey is gorgeous!