You are further ahead than you think. The fact that you do not want to burden your H with your indescretion is a huge step in the right direction.
Is your C a solution oriented therapist? Does he/she give you "homework" to complete in between sessions? Are you required to follow up?
I don't mind the sun sometime
The images it shows
I can taste you on my lips
And smell you in my clothes
Cinnamon and Sugar
And softly spoken lies
You never know just how you look
Through someone elses eyes
BHS-"Pepper"