Yeah, about that... 

I've been crunching some numbers, and even with my Shukuchi skill increasing my speed as much as it is, I'm not gonna get to Havoc in time to save her without at least replacing myself as the victim in the process. 

And I made a coin flip to decide who I would save, and it chose the healer. Now I just gotta come up with the reasoning for saving you, besides the whole "Healer can rez" thing. Gotta stay in character, after all.