No - you don’t. But empathy isn’t something you ‘give’ to the other person.
it’s actually just useful for understanding why that person makes you unhappy.
having empathy can completely turn around a situation.
This girl might be awful. Equally, she may be lovely but has fallen foul of teen politics.
OP’s update doesn’t really make it clearer. Were told only one girl is friends with the unwanted one, but the others have distanced themselves. But this girl hasn’t got the message yet. It sounds like she is being pushed out of her friendship group.
I’d say OP is getting half the story, and MN is getting a part of that.
yes - she can invite who she wants, she can spend time with who she wants. But she’s effectively being the one to ostracise this girl ( the others haven’t - even if they claim to not be friends)
OP- your DD should be aware that she ends up being painted as the bad one who chucked this girl out of the group.
it would be wise to invite her if the group is still
officially including all of them.