Because she has been from the beginning? See episode 1 before the opening.
What compromise? She's been against Chihaya every step of the way. She begrudgingly accepted Chihaya's club as an official one because they scrounged up five members and she had no choice but to accept them at that point, yet still made the additional condition that Chihaya couldn't be President. She wouldn't normally have a say in who a club/circle elects as their officers. All of them were surprised, so it was obviously not part of the normal procedure....and she accepted the club without arguing, it seems more that she was thinking whether Chihaya should be president or not hence her changing that. So far she's mostly come of as someone who's strict with the rules but still helps and compromises for her students.
A leftover storage room. That was only given to Chihaya because she wouldn't leave "the Empress" alone until she relented (episode 6, 3:00).Also she did give them the room even though they weren't an official club.