This mod was installed by NMM without any glitch, in the MCM I see it and can change any mod settings, but in game "quick trade" indicator not arise when I point to a trader and right mouse click doesn't work at all.

I have tested dofferent mod orders but nothing helps. Do you have any suggestions?

For me this was a load order issue. Try running it near the end and after any similar mods. I had a scope zooming mod that caused problems if it loaded after Quick Trade. Also, are you sure you're close enough to the trader to trigger the Quick Trade option?

I moved "Quick Trade" mod to the last position, and no success. Tried to disable all other mod except Project Nevada and MCM - it doesn't help me too. So I can't imagine what I can to do else to get this mod to work.