No, asking wasn't too pushy.
Ideally, going forward it'll be a character growth moment for your character ("Hey, I really AM a pushy..."), or hers ("you know, I trust my life to this guy in combat, maybe I need to trust him more out of combat") or both.

As long as the friction is IC, not OOC, you're. I'd say the best campaign I've run is one where most of the conflict was IC drama, and the players were often laughing hysterically as their characters were getting blindsided by another PC.