Depending on what tools you have available there is a couple different fixes. You could cut some of that bottom shelf off and glue and screw a piece of solid wood to the shelf where it could be hinged at the bottom again. The only problem with the way it is currently hinged is either the door isn't square with the cabinet or it was just hung crooked. It should be an easy fix if you haven't put all the screws in the hinge. You could just take it loose at the cabinet and move it down about 3/16". Guessing at the dimension, measure the distance the left door is above the right door. If all of the screws were put in you could drive a wooden match stick in the hole with a little glue. Another option would be to take the door to a cabinet shop and have them drill the back side of the door for European hinges. Then get a pair of Blum 38N hinges. It would give you some adjustment after the door was mounted.