You can't stay too long where you've been cocooned, because the overgrown Xenomorph responsible for this will soon return and you wouldn't have any means to defend yourself. Turn left, find the above manhole and open it.
The Xenomorph won't jump after you, but as you move through the very narrow corridors, stop where the alien starts tearing ceiling fragments in the attempts to grab you.
Take the ramp to get to the gallery. You can't stop here as well because the Xenomorphs that's after you will soon break through the window on the left. Go right quickly to reach the above vent shaft (crouch). The chase will come to end here, so you can finally slow down.