Yes.

( there's no compliment in the other woman's words, but there's approval in them that skye takes as compliment enough. )

And if by "played host" you mean got hijacked by literal Nazis, yeah, that'd be HYDRA.

( she's not offended by the implication. rather, she's a little relieved. it's the smart move, keeping one's cards close to their chest, trying to suss out whether a new associate is friend or carefully hidden foe. it's a move may might have encouraged her to make; naturally, without the guidance of a more experienced and patient hand, skye's gone in guns blazing as per usual. she could probably stand to learn a thing or two from agent carter. )

My former SO was one of those snake bastards, actually. Real gut punch to find out your trainer's pure evil.