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I agree that this is likely the case. I don't think Annelise rejecting Luke actually played a part in him agreeing with Graciemae to nominate her. I think he didn't even realise that she would think about how it would look until it was pointed out to him later on.
I feel Annelise was just annoying the other housemates in general all the way back to the first episode when she was constantly whinging on the train. Then she saved herself and forced everyone to give up their clothes which probably pissed people off as well. There is a reason she was evicted with such a large number of votes, she was just disliked in general by the majority of the housemates.
I completely agree with this. She's obviously very high maintenance. And Luke's no genius so yeah, he didn't really think about the optics of nominating her.