All the more since she was in totally "uncharted" territory with those.

Because the Jenn abandonned the second doorway that got found and brought to Mayene, there's been AS studies of the Finns who answer questions. There's no such thing about those who fulfill wishes. Moiraine is more cautious than Mat, but just like him she didn't know any of the "rules" (like the fact they have limits and will cheat you if you ask something they can't literally provide). She probably didn't get much out of the Finns, IMO. Like Mat she probably tried to get answers, though unlike him she probably "got it" before she got to her third wish. Obviously and because it's so different from the Finns she knew a little of, like Mat she didn't figure out there was a price to pay for the wishes, and didn't figure out she needed to negotiate that price and ask to be allowed to leave as part of those negotiations (she would have been blinded to that possibility by her foreknowledge that she wouldn't get out of there unless Mat and Thom came back for her).