It's tough, I know.
She obviously just needs more of you at the moment, as exhausting as that is. DS was the same. It did get better.
6-7 months we persisted with the cot. It was hell.
7.5 months we switched to mattress on the floor, co-sleeping for a few nights, then he was happy as larry to sleep alone.
8 -9.5 months, he was teething. had some bad nights when he needed me all night, and some good ones where he was happy alone.
9.5-11m - absolute hell.
11m, finally, that 6th tooth popped through and he went back to happily sleeping alone.

All babies are different and this is just my experience, but....
We rocked and fed to sleep. I fed him through the night and coslept when he needed it. This is not manipulation, this is parenting responsively. This did not establish awful life-long habits.

I think you're right - there is no point in trying to get her to sleep if she really doesn't want to. I also agree it's probably a mixture of separation anxeity and teething. Could also be developmental - is she doing anything new these days (or trying to...)?

If she's happier in bed, I'd sleep her there from the start if you can. Even if you try and move her back to the cot after she's asleep. She may well feel more secure that way and sleep better... worth a try.

Otherwise, sorry, but I don't know any quick fixes.