I'd tell her.

Firstly, when you really like someone, the urge to tell them is almost irresistible. You won't be able to move on until you have. That's my experience, anyway.

Secondly, I think it will make her respect you.

Don't make a big declaration of love, or anything. Just say you have s crush on her. And sort of make light of it, if you can. That's sort of cute and innocent.

I think most people would be flattered.

Asking if she wants to go for a coffee is the classic way of starting.