It would have been a less than amusing, one-sided argument anyway. Danny wasn't much of one for tooting his own horn, and Jedi seemed like way too cool of a title for him to carry around in his back pocket. Besides, he had about 5 titles that were hard enough to keep straight on a normal day... adding Jedi to the mix would just confuse everyone.
"I've been doing this a lot longer than Luke Skywalker had at that point. He'd been training for all of what... a week?" Danny didn't necessarily want to think about how long he had been training to become the Iron Fist, on top of how many years he had actually been the Guardian of the Secret City. It was a lot longer than a week, in both cases.
He shrugged sheepishly and took another drink of his beer. It didn't even register that Matt wouldn't have seen the gesture or expression. Danny knew him well enough
"An archer? A girl archer?" He asked, surprised. He couldn't think of any girl archers off the top of his head. There was that one guy with the purple stuff... what's it-- Hawkguy?-- or something that ran around on the West Coast, but really the list of archers he was aware of and female ones at that was a very tiny list consisting of no one at all.
"Any idea who she was?" Danny just assumed she was on their side since she hadn't actually shot Matt-- but who knew. There were probably people on their side who would also take a shot at Daredevil if they got half the chance.