Well, it's your game, so it can be whatever you want it to be, or a new RPG or whatever. My take was that with all that skill in genetic engineering and surgery with years of med school etc, was that she could do a couple things with that extreme level of knowledge. Have a little area of the medical bay as set aside as a medical lab, built right in, standard stuff.
Nothing too terribly game breaking but like, basically make some stuff to help wounds heal faster and deal with radiation poisoning. Pretty much as long as I have a lab and the right equipment, I can make some medicines. I'd think that as a lead doctor on a space ship, that'd be cool. No research needed, because it's just a skill with a roll or not, whatever. As long as you're ok with it, neato.
Basically, I just figured lead doctor could make medicines, medical devices, perform complex surgeries etc, and especially with the high level of skill she has. I'm pretty sure you all want your chief medical officer to have a 10 in surgery for when stuff goes wrong. Besides, with a 10 in genetic engineering, I dunno but, the idea of altering some virus to cure radiation sickness doesn't seem out of sorts (otherwise why bother having genetic engineering skill, because when are you going to use it?). Same deal with surgery. I don't know, but if somebody gets sick, then I might do the flavor text of genetic engineering a bacteria to deliver the medicine? I don't see too much genetic engineering on people coming from me, except maybe I might, I dunno, grow somebody a new arm or something if it gets lopped off? Not sure, but it's either that or a prosthetic. Possibly even grow some plants to provide food? I don't know. It sounds more space shipy than just sticking them with a needle, and honestly it would be the same effect, wouldn't it?
I was pretty much just trying to figure out my role in this and thought that might be helpful to everybody, kinda like that one guy who hangs around the shield gen and reactor, except I'm in the med bay I guess. I don't think the other two medics are going to have a 10 skill in surgery and almost certainly not in a 10 genetic engineering. I could be wrong, but maybe a lot of skill in Diagnostics and Field Dressing for when they're out there away from the ship or first aid? Then wounded get brought back to me and I take care of it (or at worst I get brought to them?).
It's really just a departmental specialization if you think about, and it probably goes for all the other things too I guess? You want a starship pilot who's really good at starship piloting, and transport pilot who's good at that, I guess. Same deal with your troops, because somebody's gonna be a gunner of one type, and somebody else is gonna be another gunner type (assault riffle? sniper? melee? scout?). I dunno I'm a doctor not a troop commander Jim!

I hope that's ok.
Anyhow, putting on my HR hat for a second, what else do we need: We have 8 or 9 and need 11 or 12. About 6 of those spots are obvious~
Captain: (I'm not even sure what skills that person should have. What are this person's duties/roles anyhow).
First Officer: (Same deal, though RPL's story about capturing Dr Forge sounded nice for it. He or somebody like him should be First Mate?).
Pilot: (Very important, because somebody's gotta steer this thing.)
Co-Pilot: (Same deal, because god forbid anything happen to the pilot)
Medical Assistant/Ground Medic: (Because I can't be everywhere, we need one, or maybe two)
So there's 5 or 6 people we need right there.
Other than that, it comes down to who plays what role and provides what services:We don't have grunts, heavily skilled combat specialists, like somebody who is really good with a (3) Martian Assault Rifles ballistics ground weapons.
We don't have a sniper, so. Our sniper riffle is a (1) Lunar Sniper Rifle and it's a beam weapon, so I don't know if anybody wants that, but ....

We don't have an engineer with extremely high skill in engine repair and subspace drive maintenance, but that's ok, because we have generalists who are good.
Basically I guess it's just a matter of who/what we need and what they'll be doing, and it's always like that for every organization.