Congratulations! maybe you have less coming out of that side, maybe try and put a few drops of colostrum on that side to get her to latch. it can take about 4 days for your actual milk to come in. could also be the way you are holding her, maybe try a different position.
my boobs are like that. I feed on the left (strong side) 3 or 4 times then I give it rest and use the other side.