I have a question about nose tip cartilage. Can it be seriously damaged by hard pinching? Should I consult a doctor?

I have a question about nose tip cartilage. Two nights ago, my boyfriend pinched the area in between my nostrils but also encompassing the lower part of the tip of my nose. It was an extremely hard pinch--a pain I have never felt before. Clear liquid began to drain from my nostrils for most of the night. Should I be worried about long-term damage to that area of my nose? I'm worried that the intricacies of my cartilage may have been slightly crushed or otherwise traumatized.