From my nursing training, when you check into a hospital for a procedure you agree to abide by their rules. If you are told you can wear absolutely nothing, this is to maintain a sterile field and to be sure that they can perform emergency procedures on you without anything getting in the way.
You should ask your surgeon if you can wear the Scapular. He/she might agree--but perhaps only to rest your mind. Once you are under anesthesia, it might be removed and placed back on you before you awaken. Same with socks. They need to be able to see your toes to make sure your blood flow (oxygen) is going to all four extremities. Socks are to help prevent you from slipping on the hospital floor.
I had a procedure where I was extremely fearful because the doctor had made a sɛҳuąƖ pass at me when I was alone with him in the operating room the morning of the surgery. I could not cancel the procedure, as it was vitally important that I have it and I had been prepped for it. I wore the Scapular. Even with all the people in the operating suite, I was still afraid because he was there. I prayed for help as they put me on the table. The last thing I heard before falling asleep was the anesthesiologist asking me, "Is that a Brown Scapular you're wearing?" I replied, "Yes, it is." Then I was unconscious. My last thought was that Our Lady was with me, protecting me.
WEAR THAT SCAPULAR!! And wear one with fabric only--without any metal--you'll have a better chance of being allowed to keep it on.
And remember, with your Will, you WANT to wear the Scapular. Our Lady knows that. What the docs do--She won't let them get in the way of Her promise. It's not something you can control, so you cannot be held responsible.