With her full powers, Illyria could stop time and beat the crap out of Hamilton at her leisure, then let time resume in order for his dismembered body to fall to the floor.
Maybe.
What we have to remember, however, is that, according to Hamilton himself, he is a vessel for the full combined power of the Senior Partners. The question is, therefore, would Illyria, even at full power, be able to defeat the Senior Partners? I would suspect probably not, but she would have at least been able to make a decent fight of it.