Right from the getgo, the Mix sounds very balanced.
I'm not usually into Housey Vocals, but this is very, very relaxed. Definitely 'jazzy' as you described!
Oh yeah, she's swell (well shit, I was expecting her to continue singing.. what happened? She comes back, but I was expecting more of her during the first few mins of the song)... and that Rhodes goes right along with her nicely! The FX Layers of her Vocs are interesting, nice delay/etc.
Overall, VERY cool (Rainy Day) track you got here! I like it.