Spear of Infidelity
This video shows a Beat Up even in San Gimignano. It shows that you can kill the woman who gives you the mission after you speak to her without a penalty, and how to do some weird poison trick I found ( but probably not first to discover). This works on all Beat Up events, after the cutscene they swagger around and you can kill them without penalty
LOL, that dude was likely working for the Templars anyway. 
Sort of related, in AC1 I always kill the pickpocket targets so they don't tell anyone they lost the package 
Hahaha, imagine if you hadn't poisoned the guard, then after making him promise to remain faithful, he returns home to find his wife dead..
Thanks to SBIzokronus for the fantastic sig!
This works on all Beat Up events, after the cutscene they swagger around and you can kill them without penalty
I always kill them after the cutscene. Serves 'em right. 
Very entertaining, as usual, Jack-Reacher.
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EDITED BY LISA TO REMOVE SPAM LINK. ALSO TO LAUGH UPROARIOUSLY.
Thanks for the advice, Juliefranks, but that's what we have Ezio for. 
Fuck that just made my day
Oh my god, this was made infinitely better by the fact that you had a heavy weapon.