Yeah itll fit, it should go right up to the heatsink on the southbridge.
First of all, you need good cooling..... the stock heatsink aint gonna cut it. You also need options in your bios to oc, and please clean up the inside of your case.
Get rid of the gray front usb/speaker header cables, get rounded ide cables, and new zipties and organize the cables better. Blow out all that dust also.
In fact, i suggest you just get a new case.....thats a micro atx board so just get a mid-tower, and youll have loads of space to work with, due to the small board.
If a new case is not an option, then just get the card and power supply, and clean up your current one. Be warned, the earthwatts 380w has a lot of cables (it needs a lot of zip-ties to make it look neat) and the promo ends today.