Weapon Damage Type

[blzbob]

I have a feat that says:

When you channel energy, you may choose to make an attack roll against all creatures in range. This attack roll has an attack bonus of your base attack bonus plus your Wisdom modifier. Any creature hit by this attack takes weapon damage equal to 1d4 per channeling die, of a type matching damage dealt by your deity’s favored weapon (bludgeoning, piercing or slashing).You are unaffected by this channel damage.

Is there a way to have it list the damage type based on the deity's favored weapon?