I tend to offer tea or coffee but only because I've been caught out by this is the past.
If I go to someone's house I drink whatever they make if they don't offer a choice. Like the OP I was brought up to eat/drink whatever was offered.
There are times I have eaten foods that I hate simply on the grounds that someone took the time/trouble and the expense to provide it for me. A wonderful old lady used to always buy sliced pork and tinned cream each time I went for tea. Both were expensive to her and she thought she was giving me a treat. I wouldn't have dreamed of throwing that back in her face.
I wouldn't expect a vegan, vegetarian or someone with an allergy to eat/drink something unsuitable but everyone else should just be grateful that I've gone to the trouble to feed them.
Mummy removed from museum due to lack of consent!
Marble Murders are marvellous...
Were you more emotionally attached to one parent over the other ?

