I am one of a select few of my T's clients who is allowed to email her with boundaries. She trusts me because I work in the mental health field also. She said I can send whatever I want and she will read it. I just can't expect a reply. Occasionally, she will reply if I ask her to, but I try not to take advantage of it anymore. I did take advantage of it once and she cut me off. She was very careful to say that she wasn't angry with me, nor did she think I was crazy (it was a drunk email), she just couldn't practice therapy via email. I appreciate the fact that she allowed me to make the mistake and learn from it!
So to you, I would say, go ahead!