Ok here goes, this ain't going to be easy to answer.
I heard this song late one night (like 4am) Like over half a year ago. It was played on 90.5 wber Rochester NY

If I haven't lost you yet let me try to describe it as best as I can. I'm not musically savvy at all so I'll try my best.

It "might" be an indie song, cause that station plays indie and alternative music as well as some normal stuff (college radio)

It probably came out within the last 5-10 years

Song opens with a cello (I'm pretty sure) its kind of bass heavy

Then a woman starts singing with a very long drawn out "heeeeeeeey" she has a really intense voice but it's a not a fast paced song just really powerful sounding.

Here are the lyrics as i remember them I could be wrong and these are in no way in order as she sung them or complete:

-I'm not with you they tell me
-bring me home bring me out
-I think that you know
-But I'm not your salvation
-What they did to you what they did to us
-(chorus) I can't believe (3 times)

I really loved this song when I heard it and would love to hear it again (the opening part of it just popped in my head out of the blue) any help would be GREAT!

I have no idea what the song is, but you should call the radio station that played it.