I’m and affair baby and have to keep it from my “dad”.

Im 17F and last year I found out my whole life was a lie. For context I live with my mom, dad and godfather. Last year my godfather told me that he is my real dad and that my other dad doesnt know it. My mom never wanted to tell me so he told me without her permission. I feel so guilty for lying to my father, but then again I dont want him to know because who knows how he will react. Ive genuinely felt like the black sheep of the family since. I told everyone that it doesnt bother but it genuinely does. I want to be normal and not live a lie, i want my dad to be my real dad. I dont resent my mom or godfather but they made a big mistake and they shouldnt have told 16 year old me. What do i do with this guilt?