Not much of an impact <_<
If Ichigo has any smarts, he would just leave her be and kick Aizen's ass in accordance to the plan, after he's been "pwn'd" then rescue Inoue.
I mean, shes not gonna lose her life just yet...Aizen will surely spare her for however long it takes him to figure out her powers(which will be awhile I'm sure)
Unlike Rukia, who was actually gonna die in less than a month?
I mean, Rukia and Ichigo's relationship is practically on a spiritual level opposed to Inoue's who he simply promised to protect coz he realized she was alone and junk <_<;;