Neutral clerics (on the good-evil axis) are treated as good-aligned clerics for purposes of all turning rules.¹⁾

It is always the alignment of the deity that determines whether the cleric turns or compels, not the alignment of the cleric. Depending on campaign setting, this might be the same alignment.

Turned undead move at their fastest possible speed, i.e. they flee.²⁾ Attacking turned undead does not end the turn, but attacking compelled undead does end the compel. Turned undead keep their full AC, saves, and other defenses. They will do their best to not be hit, though they cannot attack themselves for the full 3d4 rounds.

This is a roll that should be made privately by the DM. Players should not get to know how long their characters will be “safe”.