Since we won't know how long it takes until the next chapter drops, I gave the situation Yuri is in a bit of thought.
I think it may be Mesu-Yuri persona taking over.
I guess we'll know soon enough. But does it actually matter?
"We are Yuri. We are one. Rejection is futile."
Regardless of whomever is in control, their goal would be the same. They want to get closer to Sou, ideally by becoming his official guard. The Darphemo Junkie is in for the constant sniff and the pervert hopes for lucky sukebe happenings. Both seem to be more cunning and somewhat good at acting, unlike the original Yuri - and from a strategic view they have an ultimate opportunity right before them if they can hold back.
Why? Because this is crucial. The family noticed how every girl in class (including the guards) is affected by Sou's words, some more, some to a lesser degree, but still. Everyone got hit. Even the teacher recognizes this. Akane, Sumire and Sakura definitely assume Yuri, as the main target, will be finished for good, but look who is standing there, all smiles amidst this dark ocean of despair?
Remember how Yuri already hit Sou's family with Thor's Hammer by telling them she was handpicked by him and even got embraced first. They kind of assume she's someone special. What Yuri has to do now is show them her worth as both, a guard and as a woman they can trust. As such, Yuri has to answer the teachers question by role-playing how a professional escort would handle this but in the end that's a facade for another move on the family's hearts. Yuri definitely knows that Sou is on good terms his relatives, and if she uses that she could make Sou give in - or rather give up on sending her away in the scenario. If I was Yuri this is probably what I would say:
I understand how you feel, Satou-kun, which is why I was against this. As your escort I am trying to comply with your wishes, but this is where I have to draw the line. Reject me all you want but I am your guard. I will never abandon you in the middle of danger with all these women around. If I leave you unprotected it will only get worse. Your family entrusted me with your safety and we must not make them worry, okay? You don't want to upset them either, right?
The bold yellow parts are crucial. Stating something along those lines would make her appear as a pro guard who is resilient but also cares for her guard target and his family. It would sure leave a mark. Or you could say it would shock everyone who listens to it, given what's happening right now.
Another option would be using shock-therapy:
Leave you? Glady... oh wait, those women over there clearly heard us just now. Wow, would you look at those wicked smiles? Uah... unless you enjoy being pulled into a dark alley and getting gang raped all night you might want to reconsider. Would you not rather stay with your reliable guard who keeps those pests away than deal with them?
wouldn't put it past Succhie to do that. If Tenshi got out, we might also be in for a rather bold declaration:
Hm. Leave you... now, that's an issue. Ah, we hid in a locker once, didn't we? I saw an empty one over there. go hide inside for now and I'll keep watch. Call me in once you feel better ♥
But kissa's solution will probably be even more hilarious.