There was a post a couple days ago regarding a male/female mandarin identification.
It was decided the mandarin was a male, but sold as female because either during capture or transportation the dorsal fin was damaged and looked as yours does. Over time it grew back into its spike...
I would say observation and time will tell the tale.
For sure, it is definitely something I have seen in many forums and articles. I'll keep a close eye on them. It is also hard to get a nice clear photo with my cell phone, combined with having to camp out and hope it raises its fin up, lol. I didn't have my DSLR handy, but perhaps I will dig it out and try to get a nice, clean shot.
Comparing them with a picture like this was helpful:
Based on this picture, the male has much larger, more grandiose fins in general, and my new addition's dorsal fin looks pretty much exactly like the bottom one in that picture. However, I do understand males fight, and they are caught several times between the ocean and my tank so there is likely to be damage caused. But if they do start fighting, I will be sure to pull the small one right away.
I did look up, what I presume, to be the thread in question. Those situations are always a read, as the little tidbits of information from the various posters are extremely valuable.