I was driving in the snow last week and I had to gun it a few times cause I was stuck in the snow but, after arrive to my garage I notice that my left wheel was smoking and smelt like something was burning..

Should I be concern?

 

Because it may have been packed with snow I would say let it melt and go for another test drive before starting to troubleshoot, if it is too cold out to let it all melt then wash it down with the garden hose, it that is frozen then drive South until everything is melted and on the way back up North to your house, stop at a gas station prior to getting stuck in the snow and see if it happens again.

 

lol. drive south will help. is your car a 5spd or an automatic. how heavy is the smoke. well your left wheel is not your driving wheel but it still sounds like its drivetrain related. kinda like you overworked the axle by spinning and spinning and getting no traction. with a non lsd tranny what happens is the spinning power is transfer to the wheel with the lesser grip oddly.