Go to the right.

You cut into the alleyway, thundering down the cramped and filthy passageways. You take a left, then a right, leaping over a waste receptacle and a malfuctioning service droid, Your instincts prove to be correct, and a few seconds later, you're rewarded with a glimpse of your quarry. You redouble your efforts, following her through the maze of alleyways, gaining on her all the time.

Finally, the assassin cuts a sudden turn to the right. You do the same, coming out in a small backlot. The bounty hunter is there, not moving, close to you now, within arm's reach.