Very, very, VERY likely. Charlie doesn't like bloodshed and violence.
As a matter of fact, Doomslayer and Charlie are sort of ying and yang.
Doomslayer is a human and is known for being extremely hostile, violent, and unmerciful to anyone or anything who opposes him. He also despises corporate businesses who want to fuck with the dimensional rift just for the sake of science and capitalism.
Charlie is a demon and she is as far as we know, is kind, harmless, and merciful to just about everyone she knows in Hell. She herself is a business woman BUT her motives are for the good of her home and everyone in it. She has no interest in money. Just helping people. >>103858918
I think she'd think of "Daisy" as a cute nickname he'd give her.