Can you like an intrusive thought or are they all unwanted?

I wanted to ask if it is possible to purposely think of an intrusive thought and then shifting your mind instantly to something else? Is it still an intrusive thought if you have been thinking of it 'purposely' for a second? I dont know how else to explain it, but it felt like I was purposely thinking of it. Anyone else had similar experience what happened during intimate moments like masturbation I feel so ashamed cuz the thoughts are so bad they're either about family members children and stuff like that it feels like I think it I just want to know if I'm not alone I feel like a monster because it feels like I thought these things or like I did think these things and I don't know what to do I feel so ashamed and grossed I need help I just want to know if anyone had a similar experience to shed light on because I don't know I feel so isolated

Help! My OCD has caught onto this thought for awhile and I keep spinning on it. I know you are supposed to follow your values and what your actions suggest with OCD, but what if that is even blurry right know? For example my whole life I wanted to be with a man, and now my OCD is having major intrusive thoughts about women. How do you tell if those thoughts are wanted or not? I can’t figure out if I like the thoughts or not. I’m trying to live the life “I want” but what if I don’t know what that is?

are they truly intrusive thoughts or am i thinking and creating automatically graphic images that i dont want to think? i think it happens because it's too easy once you're anxious abt it. i dont enjoy it. i just saw a trigger and had a graphic disturbing se&ual image in my head.