Not specifically medicine, but I made the jump from sportswriting to corporate communications about 15 years ago by explaining how, as a sportswriter, my duties meant having to be more well-rounded than any other department in the newsroom and being able to report on and communicate a multitude of topics -- news, features, business, entertainment, explanatory, etc. Even medicine would apply to a degree, if you're reporting on injuries and dealing with such things as HIPAA.
I think your cover letter is going to have to carry more of the load than your resume, to explain how your work history and experience translate to the field that you're pursuing.
I'll be honest with you: It will be a challenge getting prospective employers to see past the stereotypical "toy department" sportswriter archetype. You must show your diversity and adaptability -- and how your skills (multitasking, daily deadlines, multimedia, numerous audiences, etc.) will/can translate into a corporate environment.
And, just to be additionally honest, you'll have to persuade a prospective employer that you're "housebroken" ... that is, able to carry yourself in a non-newsroom way. As I work to help some of my journalist friends escape from bad situations, I am finding that many of them don't realize that the, shall we say, colorful nature of a newsroom does not go over well in Corporate America. The collection of empty Diet Coke cans and Stewie Griffin dolls that you keep on your desk in the newsroom? Yeah, that doesn't fly. In some cases, I'm learning, there's an unspoken bias against newspaper types because their business environment is completely antithetical to how "real world" companies operate. Basically, newsrooms aren't analogous to an insurance office. (Vive la difference, I say, but ... .)
You've got some challenges ahead of you, but you can do it as long as you promote your skill set and how your talents can help the company. Remember, you're there to sell yourself to them ... not the other way around. (Way too many people operate under the opposite assumption.) Use your journalist's skills to listen and learn about what they need ... then address those needs in a confident but friendly way.
Good luck.
