Lae'zel pushing the creche so hard is a bit of a fail at this point in development. If you decide to listen to her and push to the Patrol ASAP you either have to cheese the fight or get your ass kicked (at least that's how it seemed when I arrived level 3)
Or you get lucky in the chat and hit the peaceful outcome that leaves the quest in limbo as there is no Githyanki body to search. And you just leave it hanging and head back and do the Grove stuff.
Of course I could be missing stuff but for immersion, I think it's best to completely ignore her advice and not seek out the patrol.