I think the Queen is faking it and pretends to be clueless and naive. So Daimiya would make a mistake later on by under-estimating her; the Queen can then deal with him when she has enough evidence about his plan to overthrown her or his plan of the assasination.
As for the "Mating" scene I think it's actually quite well-done, well, at least better than the "dragon" scene in the anime of Fate/Stay Night.
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