Me and my friends greet and depart each other with hugs. Sometimes the hugs linger and feel very close and intimate. I like that. My in-laws are European and whereas we would greet them with a hug, they do 3 cheek pecks. I'm definitely not comfortable with that because I never know which cheek to start with and it feels less close than a hug. So, we usually stall out and do a dance -
Me: going for the hug
Them: going for the cheek
Me: uh oh - puckered lips coming my way.
Them: uh oh, big arms coming my way
Me: what to do now? shift the feet, change the angle, do the sidestep, hope we don't crash and fall
Them: same...

But hugging my T? Not a chance. It seems way too intimate and meaningful.