I don't play SWTOR so I don't even know if the Radeon HD 6550D is good enough to play the game. That graphics core is basically a little slower than a Radeon HD 5570 which is not really considered a gaming card. However, it does meet the minimum graphics card requirements.
http://www.swtor.com/info/faq#171060
If you are looking for an all-in-one processor then you may want to consider the Llano A8-3870k ($140) instead which allows for better CPU overclocks. Based on what I've read the graphics core can also be overclocked, but it is a bit more complicated than overclocking the CPU core.
http://www.newegg.com/Product/Product.aspx?Item=N82E16819106001&Tpk=a8-3870k
Regardless of which Llano APU you buy, it is in your best interest to buy DDR3-1867 SDRAM because the RAM speed directly affects the performance of the graphics core.
However....
On a limited budget I recommend the Pentium G850 for $90 + Free shipping and a Radeon HD 6670 for $55 (after rebate) + shipping, for a total $145 excluding shipping.
http://www.newegg.com/Product/Product.aspx?Item=N82E16819116397
http://www.newegg.com/Product/Product.aspx?Item=N82E16814102952
The Pentium G850 is based on the Sandy Bridge core and even though it's 2.9GHz core speed is the same as the A8-3850 and A8-3870K, the Sandy Bridge architecture is more efficient which means the G850 will have better overall processing power. The A8-3870k will probably have to be overclocked to around 3.5GHz to equal the performance of the Pentium G850.
The Radeon HD 6670 is on average about 12% more powerful than the Radeon HD 5670. The Radeon HD 5670 is around 45% - 50% more powerful than the Radeon HD 5570. As I stated before, the Radeon HD 6550D graphics core is a little slower than the Radeon HD 5570.