Head-First or Heart-First?

How do you solve problems and resolve conflict... with your head or heart? Personally, I don't like it when others come at me feelings-first because I feel so ill-equipped. I usually charge head-first into issues, but that generally doesn't bode well with the softer sex (if you know what I mean). When a conversation or confrontation starts with, "I feel" - I must admit I feel quite lost. It's like I've started a trip without knowing where point A is: as if I have no reference point. Not that I am justifying myself, but part of me just rebels against the idea of submitting to somebody else's perspective as my authority.