Absolutely missing the correct noun. Your sentence, besides being awkward, seems to be saying the river is brisk...sort of. But that's not what you're trying to say.
You're in present tense so perhaps:
"We listen to the murmer of the river and feel the brisk mist rising from it's surface with the wind seemingly blowing it directly our way".
I don't know. Like most of you, I didn't need to research the sentence to know that it was grammatically incorrect. A poorly written sentence immediately reveals itself to me as wrong. The sentence I suggested above is a far cry from the original which may be outside the scope of what we are supposed to provide.
However, I did find an interesting noun that could possibly be used in place of
"a brisk mist" I believe: brume.
poetic heavy mist or fog
brumous , adjective
Word Origin for brume
C19: from French: mist, winter, from Latin brūma , contracted from brevissima diēs the shortest day
I found that at thesaurus.com. Another consideration possibly already mentioned, is spray (although "spray" can be either chilly or warm so it would, by necessity, need to be prefaced with the adjective "brisk").
"We listen to the murmur and feel the brume of the river".
I still don't like it. Although the definition of brume implies cold it's not absolutely clear to me that "brume" would suffice without the adjective "brisk". The word "river" ought to be used at the beginning of the sentence as opposed to the end but I'll leave it at that. I hope that was a decent reply (by forum standards).