Sometimes I don't like my youngest (8).
I love both my kids and always have. And I've done some pretty hardcore and difficult things for both of them.
But my eldest is just like all the better parts of me and the easier side of my quirks where as my youngest seems to be all my bad points and the difficult side of my quirks.
Everyone loves my eldest.
Everyone finds my youngest challenging (that's putting it kindly).
Doesn't mean my eldest doesn't get told off or I don't have good times with my youngest. But I relate positively to my eldest and we share a lot of interests. With my youngest, she reminds me of all my negatives and she likes lots of things the rest of us hate.
I'm really glad my kids aren't two peas in a pod, diversity is important and I don't want mere clones of myself.
I try and find something about what she's into to talk to her about and I give things she likes a try (took her to two ballet performances last year for example).
When she's screaming and having a meltdown I try to distract her with a bath or a boy or I ask her if we should go read together or something. It takes a lot of patience and energy but it's better than the times I'm exhausted and scream back.
I'm in a position where I'm waiting for support for her and us, so I don't have lots of answers. But you're not alone. These things happen.
I think the best times I have with both of mine are when I do something spontaneous like start singing something and picking theirs arms up and making them dance with me. Silly things. This can also help defuse a situation.