It would work, but would not be a good choice for games. If you just need a HTPC card, it's fine. If you want to play games, get a R7 250 at the least (GDDR5 version, NOT DDR3), and preferably a HD7750 (if you can still find one). Either of those would run on your PSU. Moving down, a HD6570 or R7 240 could also be used for games, but you'd probably be limited to very low settings on current titles.
Thanks. I'm not planning on playing current titles anyway.