Can we see some pictures of her? Tell us a little bit about her personality, maybe we can help you think up some names. Do you have any good ideas yet? No shame in renaming a horse. Really, how often do they respond to their names anyway? They are more likely to respond to the tone of your voice than the actual words you say. I renamed my horse when I first got him. His name was Socks. Who names their horses Socks? That's a cat's name. (no offense to anyone that has a horse named Socks, It just didn't fit my horse).