You know, when this little skirmish started Oriko was probably scared shitless. I mean due the her own actions not only she pissed of the physical avatar for a consensus of voices with questionable sanity and Homura. Pissing of even one of them is bad, but both? It's probably why she seem so desperate in the fight.
Eh well, acceptable collateral damage. Now to prevent Mami from losing it. This plan (Ugo's) seems workable:
[x]...Cleanse Oriko's gem right now. Hang onto it.
[x]Tell Mami that it's over. We're okay, and Oriko and Kirka are down for the count. She shouldn't push herself, and we'll be with her as soon as we can.
[x]Homura: Good work. How long before she could heal from something like that? We might need her help to heal- we still need answers.
-[x]Take her gem. Ask Homura to grab Kirika's. Degrief constantly, try and heal if you can despite your utter lack of experience. If Mami arrives, sees, and realizes...explain that Oriko's magic is keeping her alive.