I'm romancing Chloe in my latest game, but I also have Mazzy in the party. Chloe continually argues with Mazzy, and we reached a point where Chloe asks the PC to kick Mazzy out. If I refuse to kick Mazzy out (and that is certainly my preference) is the romance with Chloe screwed?

Romance is a sensitive question.
I almost replied that 'why not to kick out and then reload if romance problem happens' but such things might take effect on romance in longer time.
There are probably players who played Chloe and will answer your question, I can't, unfortunately.
The reload function is always there, well it ruins the roleplay feeling, the 'reality' feeling in my opinion.

I've never played Chloe either, but I would say that if she's got some major beef with Mazzy then your romance would be screwed. But I'm not too sure about that, so I suggest you check out a readme or forums from whoever did the mod (that was a pocketplane.net one, right?)

I took my chances and told Chloe that Mazzy would stay. Chloe said OK, and that she would cut Mazzy up into little halfling steaks if she ever endangered the party, and the romance continued - so no troubles.