I really wish I'd found this thread earlier. This is just my anecdotal experience and adds nothing to the stats/arguments being put forward but I thought it was interesting if a bit disturbing.
I became eligible for vaccination a few weeks ago (age 47). However, as I'm in the middle of some really tight deadlines in the final year of my degree (I'm a very mature student!) and can't afford to be ill for a few days, I was really pleased that my local vax centre were supplying Moderna. However, when I attended my appointment everyone over thirty was being given AZ.
When I got in the booth, the nurse (who was lovely) gave a short talk on the risks of clots with AZ comparing the risks with the pill. I mentioned I'd never been able to take the combined pill due to adverse blood pressure effects and that I'd been hospitalised with pre-eclampsia twice and monitored for Hellp syndrome (I'd already tried to check with my GP if AZ was ok but I'd been unable to get a phone consult.) The nurse then checked with the 'matron' if my medical history was an issue - the matron said no I was safe to have AZ and then left me with the nurse and volunteer.
What happened after that was really weird. I grumbled a bit and said I would prefer the Moderna but as I was unlikely to get it I might as well have the AZ as I was already there. I rolled up my sleeve but the nurse didn't move and just stared at me and proceeded to spell out very carefully that I should speak to my GP as I might be able to get an alternative. We had a back and forth for about 10 minutes, with me saying I thought that was unlikely and him saying it would really be worth a try. In the end, I just gave up and left as he seemed so reluctant to vaccinate me - I started to feel like he knew something I didn't!
Anyway, I'm speaking to my GP this week, who I have no doubt will tell me AZ is perfectly safe and I will be back where I started!