Hello, I think I can help here completely...
Firstly let me say I hope you are on the mend, good luck with your health.
I worked for a surgeon - actually two different surgeons in Stoke Mandeville Hospital and John Radcliffe.
A little gift can be accepted and is appreciated. It is rare though. Often nurses are given chocolates or wine. The doctors and surgeons often get left out.
I would suggest something like a really nice bottle of wine. I think a tie is a bit too personal.
Stick with a food or drink gift, much more casual, always well received. And yes they can accept alcohol.
I hope this helps, and wish you a speedy recovery.