Breaking into HF with B.S. and M.D. degrees

Hi, this is my first time posting on this forum, I would greatly appreciate all your valuable inputs.

To briefly talk you through my C.V., I was fortunate to have graduated from a top US engineering undergraduate program with Summa Cum Laude with GPA of 3.95. After I graduated, I finished MS in computer science in the same school and then started working for a leading software company for couple of years. However, I quit my work as a lead software engineer at the firm to enter a US medical school (currently ranked top 5) because I thought that working in medicine for the betterment of my community and and having that day-to-day patient interaction would be much more rewarding. Since I graduated from medical school, I have been working at a residency program (I apologize for not being able to reveal the specific hospital I am training at and my specialty for obvious reasons) for a few years now.

The more time I spend in hospital, the more I realize that the career in medicine is not as rewarding as I once I thought it would be. Patient care is hard - dealing with difficult and abusive family members is painful, medical problems I deal with on a daily basis are largely redundant, I would have to get involved in resolving social issues patients come in with, and etc. The hours are long but you are not compensated in proportion to the number of hours you put in to your job, the work is arduous, no golden weekends, every-3-day night calls, you get little appreciation from the leadership for what you do for the hospital. Most of all, I miss the intellectual stimulation I got while I was working with numbers and computers.

I want to enter HF for obvious reasons, it is intellectually stimulating, you get compensated for the quality of your work, it extensively requires the use of mathematics and computer science skills, both of which I loved and enjoyed in the past. But because of the time I spent on working towards the advanced degree and work, I understand that I might be a bit older than many other applicants.

I was hoping to please ask you if I would have any chance of getting interviews and potentially getting accepted into reputable HF firms (e.g. Sigma Two, Citadel, etc) as a quantitative (research) analyst granted that I work genuinely put significant efforts in preparation for the interviews. I would greatly appreciate any of your inputs. Thank you so much for helping this humble newbie in the financial industry.