The black box behind the battery (if you're looking from the front of the car) is the airbox. The area between that and the driver's seat includes the pipe that goes from the airbox to the turbocharger.
If I was you I'd get underneath the car and look with a good flashlight, for anything you might have dragged, like a plastic milk jug stuck to your turbo up pipe - or worse, if you ruptured your exhaust or up pipe on the "lump" you had to accelerate to get by.
If everything looks good from underneath, remove the black box top and check for debris.
Did your wheels spin while you were trying to get unstuck? That could produce a small amount of "smoke" and a smell.
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