Specifically, the rule against castling across check - was just a little unsure about this specific situation.

basic positions:
Black: Q-e4
White: K-e1, P-e2, R-h1

No other pieces matter - assume the board is empty except for the pieces mentioned above. Is this considered castling across check? King isn't in check, wouldn't move into check or cross against a line of the queen. Rook however is threatened by black queen and it would move across the line of the queen.

Is castling in this situation legal?

Thanks!

Jennifer