I think it takes too long to set up meetings with the idols. It makes it hard to get to know a few girls while still running your business.
I suggest reducing the time to set up meetings to be as short as a day, but to reduce spamming/rushing maybe give each idol a cooldown before you can meet her again. That way you can more feasibly get to know a few people without breaking the pacing of the game.
Maybe the better your relationship the shorter the cooldown. If you have a poor relationship maybe you have to wait a week or two between meetings. If you have a good relationship maybe you can set up meetings every other day. This can be tied into the flavor of the game as the better you know the idol the more willing she is to meet you.