I can think of three possible reasons:
-Naofumi could very well think that Melty isn't the most reliable source when it comes to her parents, since she was convinced her farhercwas a really nice guy that did nothing wrong, so Naofumi could be still not be 100% sure the queen will be an ally;
-the queen might help him but ask for something in return;
-looks like the queen cannot really help him until she comes back or else I think she would already took action. Even if she gives him some written orders, Myne could simply accuse him of having forged them and everybody would believe her.
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You will die, mortal
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