Thank you for all your responses. Bk, you're absolutely right - her response to my management style question is a big red flag and is making me feel negative and stoppy about the other items, which wouldn't necessarily bother me otherwise: it's the whole picture that feels slightly wrong here.
I think late morning Monday is quite late to cancel a Tues meeting but ok, I take everyone's point that that's life and tough, basically!
Yes, it is between me and 1 other so yes, that's the reason for second interviews and fair enough if they want to probe more, if they're not sure they should see us both again although clearly I am much better . Fine by me, I'm well prepared. Xena, I did ask it at the end as part of my questions to them and you're right, I'm not sure whether I want to work for her. Enid, agree, her response sounds chippy but she's quite quiet and unprepossessing and so maybe, and it's a big maybe, she's not a skilled interviewer and the question really threw her. Hmm, I'm not sure she's earned the benefit of the doubt tbh.
Thanks Tinker, WWB, eefs and everyone who said I am not being unreasonable! Blu, thanks for another not unreasonable vote and yes, agree re putting myself out but see above, bk is right about my feelings on this I think. Earlybird, yes, quite re your take on her reaction and that is in no pressure situation, quite. Eefs, it's not a contract, it's a perm job so this would be a long term relationship.
Hmm, I'll definitely use Thursday to find out more about her I think. Thank you everyone and for the good wishes, really helpful views. I'll let you know how I get on.
bk, what waas your reasonable question and the response? (don't tell me if you don't want to, just being nosy!)