Congratulations, and I'm sure your clinical prowess is more important than your looks!
But, okay, 'polished' sometimes makes us feel more on top of things. So:
Polished nails without nail polish = a buffing block. Buffing's quite a pleasant, mindless occupation for when you're watching TV or sitting on the bus. For extra polished-ness, use a cuticle removing cream/gel/liquid, and of course keep your nails neatly trimmed. You can rub some oil into them after buffing.
Moisturiser and a tinted primer.
Concealer or a dab of foundation under your eyes if you look tired.
A little bit of cream or gel blusher on both face and lips.
Eyebrows, but definitely not HD.
If you use mascara, experiment until you find one that doesn't make 'em look clumpy or spiky! You want low definition. Or dye your lashes.
If you want to make up your eyes, I'd suggest two or three very subtle cream shadows, one lighter than your skin, one a tiny bit darker and one (optional) a bit darker than that. I like cream shadow sticks as they're so fast & easy. The light one's for the inner corner of your lids; the darker one's for the crease.
Have you tried oil to tame your flyaways? Depends on your hair: try rubbing a bit of olive, almond, castor or baby oil between your palms, then stroking or scrunching it onto your hair. Glycerine used the same way can look amazing but can also end up sticky - have a go!