Marigold could have her avatar/streaming software saved to the Cloud. In theory, all she'd need to do is download them, install them onto Aurelia's computer, and run them through a separate webcam - or as Clinton did, through the camera in a 'phone. It might be a bit more janky than usual, but she's notoriously computer savvy so could probably sort it out.

I just had to make that up though, its not indicated by the story. Similarly, WHY she would have her "secret identity" saved online rather than locally where she could be confident of its security, is another question entirely. Or why she would feel safe about installing it on a stranger's machine.

Any way you look at it there's a lot being skipped to make this work "somehow", when we already had a perfectly good "we've discussed it in a call and will meet up later" premise that fell apart for no particular reason. It's like Jeph contrived this situation to make less sense than when it started out.