Until now, I got 3 small insects inside my 47" LCD TV panel and managed to remove them all (actually to move them to the bottom edge of the screen, behind the plastic rim so they are no longer visible).
If the insect is still alive, do not try to kill it by pressing on the screen. It will only make the problem worse. You also could be lucky and the insect could move out of the screen by itself, so leave the screen shut off (so there is no light to attract it any longer).
If the insect is dead, use one or two small plastic suction cups and gently pull the screen out. Hopefully, the insect will fall to the bottom of the panel, in the area covered by the panel rim. Since in your case it is near the right-upper corner, you could try to keep the monitor on its side to drop the insect inside the right cover of the panel. If the insect does not move, wait a week or so to dry out and dislodge itself.
As a prevention measure, in the future you could use a light behind the monitor (so that insects are more likely to be attracted by this light and not by the backlighting of your LCD monitor). And insect spray.