I am an international student who just came to this country. I always worried about writing emails to my professors, because I think my English is rude. I would like to be more polite, for example, I wrote to a professor for auditing a class, the professor wrote me back and told me the course schedule, he said if I am free at that time, I could certainly audit it. I think the professor is very kind and want to thank him, so I am about to write:
Dear Professor XXX,
Thank you for your kindness! I think for sure I will go!
Yours sincerely, XXX
My question is: Am I being rude? How can that email be more polite?