This....this seems strangely familiar. Did you post a version of it once before?
If so, then this is a vast improvement over what I remember reading in terms of flow and style. The opening is good with nice description but I would have liked some clues there telling that this wasn't a medieval or human world. It's not until halfway through that I realize they represent two alien species out of many. That info seemed to come a little late. Maybe if you casually describe some of the other 'species' hanging around in the bar, it would remove the confusion, but again, the descriptions and writing are very good.
Um...there's just one more (very important) problem I see. I really don't understand why they had a meeting.
Let me explain:
They aren't friends. They aren't co-workers. You tell us that these two met recently and "not on good terms". Neymos seems very busy, impatient and very serious. She also doesn't seem to be in the market for new friends. Because of these impressions, she doesn't strike me as the sort who would patronize the curious, carefree Mythril with a meeting of no 'value' to her. In other words, Neymos doesn't seem like the sort who would bother explaining herself, just because someone asked.
Mythril is supposed to be curious, but acts more bored and skeptical than anything. She seems to be the one who wanted this meeting, yet she carelessly derides Neymos' by addressing her in such a flippant familial manner, even after it's apparent she doesn't like it. That's just not tactful--not when you want something from a person. I just don't get what could have brought them together in that bar.
Now, that's not to say I don't understand why you've made these characters so different. It's a classic method for developing great character tension and dynamic. But as the reader, I need to see something more apparent drawing these two together. It can be something tangible like a job, or intangible like emotional gratification (i.e. maybe Neymos came in spite of her personality because her pride subconsciously craves sympathy or admiration.) But I have to 'get' the reason, or my gut's not going to buy it.
I realize this is probably a very discouraging response and I'm sorry to seem like such a downer. Really, the last thing I intend to do is discourage you--I only want to help you improve your character logic and make you story awesome. It really shouldn't take too much to fix the subtle vacuum of purpose either. You have a very interesting premise here and I think it can lead to a great novel. Best of luck with it!