Will the Ectropion after lower eyelid surgery correct itself? (Photo)

Very hard to be sure. But your surgeon most likely wants you to wait at least 3 months than determine if revision surgery is indicated. I might test the elasticity of the lateral lower lid to see if the relaxation will occur or a surgical repair is needed... Good Luck...  

Some retraction immediately after lid surgery can improve with time.  Please see your surgeon soon for proper follow up and possibly some massaging exercises. 

This Ectropion usually is due to edema (swelling)  of the eyelids after surgery which can be corrected by taping the lower eyelid with a tape (steri strip) attached firmly under traction from the lower eyelid 2mm under the eyelash to half an inch above the corner of the outer part of the eye to the temporal area and massaging over the taped area every hour for 5 minutes during the day for 2 to 3 weeks thus squeezing the swelling down and the eye will usually retract to its normal position.  If during massaging the eyelid gets sore then rest for a few hours and resume the massaging again.  This condition will resolve nicely in a short time.