So, I've been shadowing this dentist for almost 40 hours. Would it be inappropriate to ask her if she could write a letter of recommendation for me through a note? Like, I was thinking that I could leave a thank you note on my last day of shadowing for her letting me shadow, then saying at the end "I would really appreciate it if you could write a letter of recommendation for me for dental school. If that is a possibility for you, here is my email" then leave my email address. I am just so scared to ask because I don't know if she likes me or not! Her personality is just a little aloof I guess.