@stevenrice Your build is focused on offense with high empower and crit stats, and has little defensive stats. Since you won't be able to outlast the Basilisk, even with healing, you need to try to restrict its ability to go on offense while you dish out the damage. The defense buffs are not very effective in your case since, as Antony noted, you get minimal bonus from them: +5 defense from Magic Shield, and +15 defense from Sense Danger. Healing will be cut off by Numbness, so that is not reliable. Some combination of Heat Up when Basilisk hits 12-15 heat and Mirror to stop damage is likely your best bet.
At this point, I'd advise that you focus on leveling up and getting some better gear before trying to take down Basilisk. As I noted before, Basilisk is the toughest monster in the game and was a challenge even at level 50 with the buffed healing. At level 44, its highly unlikely you will be able to defeat it.