Bambi does not mean baby girl in Italian. There is the word "bambina", but that isn't a name. It's just not, sorry. It's a bit like calling your DC girl or Mädchen... Nope.
Plus, remember what happened to Bambi's mother... You're making yourself bambi's mother in a way. I mean, it's just weird imo.
Anyhow: Francesca is lovely. Really really lovely.
You could use a name that means deer and then use the nn "Bambi"?
Bambi is an adorable nickname. :)!