They Sit and Talk: Gert (Runaways) and 10th Doctor (Doctor Who)

More like so and so joins the Doctor as a companion but I digress.

Basically, Gert and Old Lace join the 10th Doctor in a series of weird adventures. What would their banter be like and how much could Gert take all the time and space shenanigans before leaving?

As for which version of Gert, let's try both the main 616 Gert from the comics and the TV show if the interactions would be any different.

I'm more familiar with comic Gert, but even then I'm not sure how the conversation would go down. I wouldn't be surprised if she just fangirled over him the entire time and made wry jokes about how her parents are evil Time Lords.