[ filter: polyxena ] You shouldn't. For the love of all that is holy, he wasn't even a true husband to his WIFE. The one he left back home. The one he conveniently forgot or planned on keeping while having you as his second. And then there was Briseis, also apparently promised the status of wife from at least Patroclus.
To be a wife or husband means you are treasured. People say it's a piece of paper and maybe it is to them. To me, it means giving someone a place in your life you don't intend to give to another.
Remember our parents in Troy? My parents here, in Moscow. They are fussy and they fight but they love so strongly. They wouldn't want another to replace the other. That is marriage. Not Achilles' selfishness, not death. It's wanting everything for the other and trying to help make it happen.