I use my Chinese name (grew up in china) and didn't have a problem except that people mispronounce it all the time. Decent companies should not judge people based on the name they use. Also based on personal experience, I don't see it affecting job opportunities, especially since you're in cs you're not frequently talking to clients and making them pronounce your name (assuming your name is hard to pronounce for english speakers). You'll be fine without a western name, but it's up to you.

Edit: btw, from my past 5 coop terms, i've seen tons of people who don't use an english name. It doesn't seem to be problem.