I doubt the Lady would be able to force Ichigo to take off his underpants. LOL, She and What Army?
I wonder what Shinji is really asking Hyori to go and fix, could it have something to do with the method the Quincies use to access SS? Does saying Goodbye to Ichigo mean that access to the Real World from SS would be Sealed? If so Isshin would have something to say about it.
Aside: I was hoping That Ichigo's boss, Ikumi Unagiya would be a relative (agent) of Isshin. She seems to care way too much to be a random boss.
I doubt Ichigo is going to be asked to Join Sqaud Zero for a while yet, they need his power to fight for now.