Am I crazy for feeling guilty about this?

In my opinion you’re overreacting. It’s different to just handing your child to a strange man just cause they asked for a cuddle.
In this situation you had no other choice, this person was a member of staff, not just a random guy off the street, it was just a bit of help, not anything inappropriate.
I wouldn’t even give it a second thought afterwards if I was in that situation, I probably have been but it wasn’t significant so I don’t remember the exact situation anymore. Don’t worry about it x

Your not overreacting but overthinking you were doing whatever you needed to ensure you were all safe - this is sometime
Making a quick choice to make sure everyone was ok.

When I was a waitress a women walking in with her 4 kids and the youngest of them was just screaming she literally just handed the baby to me and said I need a minute while crying … she did that as I think the alternative would of been her shacking her baby yes I was a stranger but she did what was safest for her child in that moment she composed herself and then was all good sometimes you just need to do what needs to be done

One time a random woman came over and asked if she could hold my crying twin، I was feeding the other twin and had no hands or help because I also had my toddler with me.
Turns out she was a midwife who really did just want to help. She rocked and held my crying twin and comforted her well. I didn't give it a second thought, she offered help and I needed it.

Oops I thought the « I would do the same » was about the action
So I needed to vote you’re overreacting
Sometimes you just can’t and do with what you can. It’s not always the best, I have 2 under 2 so I got you. Doesn’t mean that next time you will do the same, but that time all went well so no need to overthink of it !

One time I helped a mum with her baby in a buggy as she really needed to pee in a small toilet cubicle but couldn’t take her baby in with her. I offered to watch her baby and spoke to her the whole time and kept my foot under her door so she knew I hadn’t run off. There are a handful of moments in life we may need to trust our instinct in a moment of necessity. Don’t stress it. It shows you are a wonderful mum though caring about your baby. Now get some rest! 🩷