I denied stuff to my T tons at first. When I later apologized for lying, he was very compassionate and said he didn't see it as lying at all--I just wasn't yet ready to tell the truth.

Therapists are flexible--they understand that their perceptions might be incorrect, and they also understand that it can be hard (especially at first) to be forthright. When you're ready to be honest, you will be, and I bet your T will be understanding. Go at your speed--she will, too.