Search:

Hello,

Она собирается пробыть (прожить) здесь/там до следующей (adj. in g.c. that agrees with the fem. noun «week») недели (fem. noun in g.c.). – She's going to stay until next week.
(Он...

"Не смогла" means that the result was negative. She failed to oder a room. I think "she wasn't able" is the polite method to say the same. So the translation is correct.

"Не могла" means she...