Power Supply 220 W (PFC / Non-PFC)
You're not going to run any gamer card with that, and I wouldn't even run any discrete card with that. You're going to need, minimum, a Corsair CX450. However, also from Acer:
PCI Express® 2.0 x16 slot (PCI Express® 2.0 x4 bandwidth)
Means you're limited to HTPC class cards, 6450, perhaps 7570. And with a slow E-350 dual core...But that card, like other AMD cards have been for a long time, play audio through just fine using the on board audio processor.
ASUS Sabertooth 990FX/Gen3 R2, FX-8350 w/ Corsair H60, 8 GiB G.SKILL RipjawsX DDR3-2133, XFX HD 7970 Ghz, 512GB Vertex 4, 256GB Vector, 240GB Agility 3, Creative X-Fi Titanium w/ Creative Gigaworks S750, SeaSonic X750, HP ZR2440w, Win 7 Ultimate x64