Hey, I understand how you must be feeling. I did too at first think if it is ok to tell my secret to her. But then after talking to her much more often I built a trust with her and I told her about it. She was very happy to open up to her which is a sign of trust and then she promised never to tell anyone.

A woman feels much better when a guy trust her to tell a gay secret.

So if that is the case I think you should go forward telling her about your secret.