No. That's not the only reason. I'll break it down:
So you have a folding, pocket wallet. Not necessarily a thing that shows gender, but the 2 condom imprints is something to take note of. On top of that, a trans ftm would still have little need for a condom. If they want to be tom-boyish, then they might carry a condom, but it also depends on their stage of transition if they choose to have a transition that way or not. A mtf trans might need a condom, but not stereotyped in carrying them in their fold wallet. A lesbian might carry a fold wallet, but why do they need a condom? A man (straight or gay) will have the most need for a condom in their fold wallet making them the most logical response to be a naturally born male carrying a condom. So sticking with the evidence of a condom in the wallet, I can begin to break everything else down.
The person I originally spoke with is young and had an appreciation for 80s tech (that explains their watch) carrying a hankerchief is weird, but I'll assume that makes them modern hipsters. Carrying a pen with you everywhere? Well that just makes you a nerd and almost (potentially) deliberately going against the ebb and flow. Granted i don't believe there's anything wrong with that, but all signs point towards that the person I was originally speaking with is either a naturally born male that is a hipster and nerd (which tells me a lot about their idea of feminism) or a previously transitioned male (which, and this is IMO, you've lost your right to speak for the gender you transitioned from and should begin representing the gender you have or are transitioning to). I can keep going if you're interested
So you're allowed to criticized fictional characters, but I'm not allowed to criticize your fictional criticisms?