Same with my doctor, he has not recommended the covid vaccine to anyone in my family during our visits.
We had to place my FIL (81) in memory care, he has vascular dementia. They did not require (or even push) him or any of us to get the vax, he just had to get a negative covid test. There are no restrictions on visiting him either, we are asked to wear masks when we go in the common areas where other residents are, but we can visit him outside or to his room without them.
But this is Georgia which has been pretty laid back regarding covid and our cases are back down to where they were when covid first hit our state. Even without lockdowns and mandates (imagine that).
I'm 66 with asthma and all my doctor has said is wear the mask in crowded spots and try to avoid close contact with strangers. That's what we do. My husband is 82 so we mostly just stay away from strangers. If a repairman comes to the house we don't require they wear a mask and neither do we. We just keep our distance if possible. We aren't fanatical about it. She recommended the flu shot since I hadn't had it at my appointment. She asked why and I told her that if I needed to wear a mask in places because of COVID I figure I wouldn't get the flu either. That's when she explained that they aren't 100% protection, especially if somebody that is sick isn't wearing one, and while they help I really needed to get the flu shot because if I got the flu and COVID at the same time they would bury me. She never recommended the COVID vaccine. She did say that even with the flu shot I need to stay away from strangers since the flu shot isn't 100% either. LOL I take all of the recommended supplements and she even told me to double my D3. She said to get out in the fresh air as much as possible. She and my pulmonary specialist have been spooked since I was so sick with that bad flu in 2008.
If a business isn't crowded and doesn't recommend masks I don't wear one. If they have a sign on the door recommending them I do. Nobody is doing the vaccine requirement nonsense so far.