Will this PSU work with my GPU?

Solution
Most HQ 550w will work , but I always recommend 650w for headroom with the 390.

Actually I m surprised the XFX won't run it. Great PSU with the power to do so.

I just think 650w is the right choice.
That model is poor here's a great one with plenty of power made By SEASONIC.

http://www.newegg.com/Product/Product.aspx?Item=N82E16817438048


EVGA SuperNOVA GS 220-GS-0650-V1 80 PLUS GOLD 650 W ECO Mode Fully Modular NVIDIA SLI Ready and Crossfire Support Super Silent Continuous Power Supply

 
I'm just so scared of buying the wrong thing, I have one shot at getting it right without having to go through a pita refund/exchange. I've already gotten an item I can't use yet because of misinformation. Not saying you are telling me incorrect information, but I am just trying to be careful.

If the radeon R9 390 only needs 550w, why does my XFX Pro 550w not work with it? the fans won't even spin on the card.
 
I think the reason my XFX will not work is because it is only 14 pins, when the card needs 18. unless i am somehow plugging in the pins wrong, I have tried plugging them in in an assortment of ways and it never turned on. If you have a trick for making it work, please, tell me, I would love to not have to spend another 100 dollars.