[quote="Queen Elsa"]How should I do the email? Should I start out with a simple 'Hi! How are you?' or just get straight to my proposition? It seems stupid to me to ask how she is when I just saw her two days ago. But going straight to the point seems a bit weird, too. I dunno.

[/quote]
Format it, the way you would a letter, so that you have something like this:
[quote]Dear Mrs. So-and-so,
Hello. I was thinking [proposition here].
-Sincerely,
Elsa[/quote]