Godan verb with 'su' ending, Transitive verb
to be too much for one; to find unmanageable; to be beyond one's control; to not know what to do with
彼女は暇を持て余しているらしい。She doesn't seem to know what to do with her leisure time.
Also written 持てあます【もてあます】、もて余す【もてあます】