Is surgery necessary?

Hi - my 10 year old German shepherd mix has a small growth on her eyelid, and it’s been slowly getting bigger/redder. The vet has always said it’s not a big deal since it wasn’t impeding her vision, but it has started growing in towards the eye a little and now the vet has recommended removing it. She would have to be put under anesthesia and that’s the part I’m worried about since she’s a little over 10 years old. Am I being crazy? The surgery itself should be simple I’m just freaking out about the anesthesia. Am I being too cautious? The vet already gave her an ekg and did bloodwork and everything was fine and she’s safe for anesthesia but I’m still worried and wondering if the surgery is really even necessary at all. Anyone have similar experience or advice to offer? Thank you.