Dhruv, you may have a good grasp at programming, I'm assuming, but it is good if you have something tangible to show for your interest/inclination toward finance. Like some known certifications. That'd add value to your profile(and definitely will be perceived well by the Uni AdComm).
Given info is limiting. You mentioning 'getting into finance' seems pretty generic. One can argue why go for MFE and not MFin. Whether, by changing profile, do you mean that you're looking to get rid of coding forever or don't mind it as long as you're in the finance sector? You may also want to ask yourself if your interest lies toward the non-quant side of finance(PE, equity research, i-banking) or toward the quant side of it(quant modeling, derivatives pricing, algo trading, strats, risk modeling(not sure if anything related to 'risk' qualifies as quant)). Guess if you've got that figured out, you'll have a pretty clear picture.
BTW, you're on the best site on the internet if you want to know more about the quant side. Make good use of it.
