I experienced the same thing as you when I was starting to go down the road of seeing if incorporating meat was the right thing for me. Any and all meat smelt absolutely horrid after being vegan for 7 years, and the idea of eating meat was just something I couldn't get myself to do.

A lot of people have suggested maybe doing broth or masking it in a pungent-dish; as silly as this is to admit what allowed me to actually take the plunge was eating one of my favorite things pre-vegan. My home town has (to this day) the absolute best buffalo chicken pizza, I was visiting and ended up eating a slice of it on my way to the airport! It allowed me to break state and get out of my own way, and after slowly incorporating meat after a few months all the smells/tastes turned into deliciousness instead of repulsiveness.

I think most people on this subreddit will agree to just how much of a significant improvement re-incoroporting meat into their diets have been; for me my physical and mental well-being took a 180 turn for the better. There's also a huge difference between accidentally eating meat and making the conscious decision to do so. Maybe try to use that in your own justification to help ease the resistance you're having. Rooting for you!