Re: Now that I've finished playing Skyrim for 13 hours...
I would say Rene a lot more than Lyon, where Lyon would actually come in later on. I had a vision in my mind of Danii seeing something of herself in Rene, in that Rene sees the world's absolutes rather than opinions. To make that make a bit more sense...Danii would appreciate Rene's face valued views. Also, that last little tidbit in her personality profile leads me to think that Rene believes highly in fate, and so does Danii though not so much religiously.
Danii views on seeing Rene on the street alone would strike her as odd considering the lower plate and what I know of poor societies XD (aka I wouldn't walk around in lower Bronx when it gets dark) I doubt she'd see Rene as an evil entity and would probably show some compassion upon getting to know who Rene was. In Danii's history, Anne was the one who hated the world, Danii merely hates those who have or would have hurt Anne, which comprises a lot of society but anyways...
With Lyon I'd see a confrontation eventually like say Rene invites Danii home or the three bump into each other by some odd chance. That I'll leave more or less up to you since it involves more so Rene or Lyon initiating. Danii would have little reason to confront Lyon herself. There's also a possibility that this happens once the game starts, but then again it itself is more or less a backlog that will predate the larger events. Otherwise it'd be more of Lyon seeing Danii as a valid combatant XD
Dominic...Dominic....hmm. I was really throwing it out there with him haha. This one may very well depend on when he starts his vigilantism. Any confrontation would probably have to be at some point right after the contract to avoid history mismatching. Wait too long after though and Danii no longer seems like she'd be someone in need. She definitely won't be seen as someone who's fortunate however.
Florence I just see it happening in some strange way. Like, it'd be a week of noticing each other before one of them gathers up enough fortitude to ask "what are you doing in that getup?" "why have you been watching me?" etc. XD Unlike Rene, Florence is a grown man, so while he does look odd, it's not someone Danii would approach immediately. Probably more of a person she'd watch.
Also, crime syndicate! Lyon as the muscle, Dominic as what he is, Rene as the one day enforcer, and Danii as the brains :3