An Old Timers solution for stripped holes in wood:
Back the screw out and stick a wooden match stick, toothpick, or sliver of scrap wood into the hole, if you think it neccessary - add glue into the hole and then re-insert and re-tighten down the screw slowly and carefully as the others have suggested. Trim the matchstick/toothpick that extends beyond the screwhead.
(I learned that from 'Howdy' Olson, a friend, who passed more than a decade ago. Took a bullet above the knee while running up a beach in the Pacific "oh that's me" - but it only slowed him down. I recollect him each time I use his wooden match stick fix.)
Another tip for driving screws where I am concerened about splitting - I coat the screw with wax/parafin beforehand.
You might want to take a file and tone down the bite on the self tapping flange at the end -side of the screw, if the cutting flange is too wide it makes too large a hole for the threads of the screw to grip forcefully