I don't think it's a bad idea. In fact, I don't see anything wrong with it. All you did was enable your D to show your W that she loves her. I think that you should send it. It shows more that you care about your D than it looks pursuing. That's my take on it.
B
Me: 29 W: 28 T: 10 M: 7 No kids 2 Dogs and 1 Cat With Parents: 09/16/07 Apartment: 10/13/07 Back Home: ~2/16/2008