Adverb from a compound of a (as a negative participle) and a presumed derivative of perispao; undistractedly, i.e. Free from (domestic) solicitude -- without distraction.
KJV: And this I speak for your own profit; not that I may cast a snare upon you, but for that which is comely, and that ye may attend upon the Lord without distraction.
NASB: This I say for your own benefit; not to put a restraint upon you, but to promote what is appropriate and to secure undistracted devotion to the Lord.