Yeah elektra beat the crap out of him in his own comic a few months ago (wolverine was still healing from well being dead? so he wasn't at the top of his game,,,,,and elektra got the drop on him while he was fighting some other guys but still she beat him something ugly)
and elektra beat up on wolverine back when he was in his feral state with the bone claws. So without a healing factor its quite possible elektra would just rounce wolverine. But, if wolverine used all his combative, and strategic skills cause he knew he didn't have a healing factor and couldn't afford not to: then I see the fight ending either way.