She is so aggressive that people cannot like her.
She is so aggressive that people do not like her.
Which is suitable for using with the verb "like", can or do?
She is so aggressive that people cannot like her.
She is so aggressive that people do not like her.
'cannot' by definition means 'to be unable to do otherwise', so to me, one sentence implies choice, the other does not.
Another way of wording it would be...
She is so aggressive that people are unable to like her.
She is so aggressive that people decide to not like her.
..which makes the distinction slightly clearer.
Of course, writers sometimes use 'cannot' in this context for effect - basically to state that this person is so aggressive that no person on earth could possibly like her.