You may want to allow the player to wear some sort of veil or mask that inhibits the petrefying gaze. Or not.Each opponent within range of a gaze attack must attempt a saving throw each round at the beginning of his or her turn in the initiative order. Only looking directly at a creature with a gaze attack leaves an opponent vulnerable. Opponents can avoid the need to make the saving throw by not looking at the creature... <snip>
A creature with a gaze attack can actively gaze as an attack action by choosing a target within range. That opponent must attempt a saving throw but can try to avoid this as described above. Thus, it is possible for an opponent to save against a creature’s gaze twice during the same round, once before the opponent’s action and once during the creature’s turn.
But allies might also be affected.RigaMortus said:In the description that was posted, it states that the gaze attack affects "opponents".
Allies of a creature with a gaze attack might be affected. All the creature’s allies are considered to be averting their eyes from the creature with the gaze attack, and have a 50% chance to not need to make a saving throw against the gaze attack each round. The creature also can veil its eyes, thus negating its gaze ability.

(Dungeons & Dragons)
Rulebook featuring "high magic" options, including a host of new spells.