Stuck screws are very frustrating!
Don't just torque on it blindly, as stripping the screw will leave you in a very poor state.
Try briefly using a hair dryer on the area to loosen things up (don't point the heat at the logic board for long, though!).
Then, with the CORRECT screwdriver size (#00), push firmly down directly into the screw and, while pushing down, turn the screwdriver.
The downward force ensures maximum drive to screw connection, and minimizes stripping.
I hope this helps!