Tom will get over it. Write it off and act as normal so he doesn’t think it’s a big deal requiring hand fed prawns and counselling.
What you do is take the basket into the smallest room you have. Take cat up, gently scruff the back of the neck if you have to so he goes floppy. Close door, take the door off the basket and corner Tom using the basket, push basket over his head and scoop the bum in using the door. Fasten door while muttering swear words.
At the vet he should get back in on his own and they tend to behave better for no nonsense vet nurses who are having none of their shenanigans.
It worked on my departed 6.5kg Bengal until he learnt standing on your back legs like a meerkat makes it much harder.