Thymoëtes was one of the elders of Troy and, according to Virgil's Aeneid, the first to suggest that the Wooden Horse should be moved inside the walls of Troy.
His name could derive from thymoeides, 'high-spirited', 'courageous' (from thymos, 'soul', 'courage' and eidos, 'form', 'shape', 'figure'). This could be both a suitably 'belligerent' name for a warrior and also a descriptive one for this particular man.