Love her name

I think it is fine! When we got our Chi the breeder recommended using sweaters for her in the winter. We had to remind her we lived in AZ (we bought her in Ohio). Yes, it does get cold-ish here in Dec and Jan overnight, but nothing like Ohio!

My MIL had three Hairless Chinese Cresteds (all gone to RB now ) and they had a variety of clothing. Sweaters, raincoats, hoodies - you name it! I don't think there is anything wrong with making sure your pet is warm. It can get ridiculous cold in many places.