Purely grammar-wise, it's not correct. However, it seems like that's a description, so what you have is alright.

Hi Rosa, Just a couple of things... I think I would say "department" instead of "unit," but that is coming from someone who is from the U.S. Other countries where English is spoken might say "unit," I'm not sure. I'm also not familiar with the phrase "Direction of Hospitals." Can you tell me what that means? I'm thinking we might use another word for that too.

The sentence is correct, yes.