Ha ha, no worries! I know how that goes. While I don't think Lust would ask anyone, if he happens to be around that area when she heads in and decides to come along for whatever reason (curiosity?), she won't object. She doubts she has a Shadow on account of who she is, so she'll shrug and say there probably won't be much to see. What does she have to repress? She's fairly open about the genocide and murder she instigated. So she'll be surprised when a shadow DOES appear.

I was going to offer the same to Ira, though he might prefer having Akane or Rukia there with him instead. On the other hand, Lust would be brutally efficient if he rejected his Calamity self and got possessed, as she wouldn't hesitate to beat him up. Any preferences?