Don't like tea?

Saying “I don’t like tea” is like somebody saying “I don’t like drinks”

It’s too broad of a term.

There are hot teas and iced teas.

There’s black tea and green tea and mint tea and chamomile, but there’s also:

Hibiscus, chocolate mint, honeybush, and egyptian mint.

There are thousands of types of teas, and unless you’re against drinks in general, there are some you do like.

You can say you don’t like black tea or green tea.