Hi Fosmum
I've just been through this with my DD who is 2.11. She was born with 2 'skin tags' in front of her ear - one was small but the other grew with her and was quite fleshy. At birth the midwife told me we could have it removed once she was 2. The paeds doc on the ward, and then my community midwife, health visitor and GP at the 6 week check all said the same, and were very matter of fact about it: come back when she's 2 and we'll refer you, its a small op and very common.
Fast forward til she is 2, we moved house and new GP spotted the tags and asked did we want referring to have them removed. Yes please says me. She then described the op and the general - I had exactly the same reaction as you. had I known it would be a general, I would have been hesitant but she said to do it under local needs the child to be completely compliant and fully understanding of the procedure ie at least 11. My reason for wanting it removed was to avoid DD being teased at school, and I'm quite sure that this would happen at an early age if it was going to. It also was prominent and served no function.
We went ahead with the op, as I took reassurance from all the health professionals' matter of fact approach to it. It was done as a day case, under general when she was 2.8, it took about 20 minutes and she handled it all brilliantly. 10 mins after coming round, she was sitting up in bed asking for toast and marmite, and we were back home within 4 hours of arriving at the hospital. I have no regrets at all, and am very glad we decided to have it done now, when she will have no memory of it at all. She has two tiny scars which are still red, but will fade to white over time. DD has never even noticed her ear since, and thinks we went for a day out to the hospital!
I won't lie, seeing her be anaesthetised was not pleasant. I cried. But the anaesthetist was fantastic and explained everything that would happen, and was happy to spend quite a time talking about my worries about the risks with me. I was confident in our decision, and had we waited until she was older to have this done, I am sure DD would have experienced worry and anxiety so we have avoided that.
Hope thats helped. Our new GP has an interest in paeds, I also found it helpful to talk to her about risks etc. good luck