I hate getting too wet on the bike even though I cycle lots of places. Waterproof trousers make me sweat too much and get damp anyway. I haven't found decent waterproof shoes and socks yet. My hair gets so so so frizzy and enormous, and the water ends up soaking through helmet and liner. There might be good clothes but it still seems to seep everywhere, and then you have to let bags and coats and clothes dry when you get there, which means spreading out everywhere. And backpacks or panniers still get wet.
But worse is glasses. Always spotty and dripping and makes it hard to see, and often fogged up too, though I have a fog spray that helps with that.
And Raynaud's turn my fingers white even when it's supposedly warm out, very painful. And when it's cold, that's another story.
I live in a city with huge potholes, very dangerous at the best of times for cyclists, and also massive puddles along the edges of the road that drench you if you are a pedestrian, and hide mystery holes and objects if you are a cyclist, even when it's not that heavy rain. I have a fear of being knocked off by hitting potholes as I've already had broken wrists, as well of course as punctures (in my 'puncture resist' tyres).
So while I'm fine with anyone who wants to cycle in the rain, and can appreciate why they might like it, I do also have a lot of sympathy for fair-weather cyclists who don't want to cycle on the really wet days - there are lots of good reasons for that too. I wouldn't keep pestering someone who wanted to cycle to accept a lift, but I might offer the first time in case they do want one.