Oh, more than eyes.

Well, how exactly is he defining 'magic'? This is probably a conflicting definitions thing.

Extraordinary powers! Great workings! Strange skills and transformations!

Is a Dwarven Smith making fine steel plate magic? Is a master glazier creating a beautiful stained glass window magic? Mere apothecary work, willow and yarrow and so on, is medicine. So is new eyes. Smelting crude pig iron is metalwork. So is a Dwarf masterwork.

There are some higher elements that only she will be capable of, for secret reasons, but those aren't what she is trying to teach right now.

Yes! Blacksmiths are definitely a bit magical, you know what they say about them. Dwarf smiths, oh yes. They can work wonders, they can. 

Oh! Ohhhhhh, he understands! Yes, teacher, of course he is not yet worthy. 

......Alright then, apparently the local definition of magic is weird.

Moving on. What's next... Teaching all day has exhausted her and probably her students even more. Class dismissed. Time for visiting hours with non-student people instead. Please be cautious and ask her about any bright ideas you have before implementing them.

- She should probably act now, shouldn't she. 

She approaches Dr Baika afterwards and takes off the stupid veil. She could have just altered her appearance by wizardry - why didn't she think of that - she never does this kind of thing, that's why, but she had to see for herself. Well, if she'd done that, another wizard could possibly have picked up on it. Yeah. That makes sense. 

Come on she isn't just a powerful wizard any more she has every right to do this - 

"Um. Dr Baika." That's a good start. "...How much do you know about the secrets of life? More than just medicine and disease?"

Oh, it's the nerd. "Yes. The deeper knowledge is something that you need to know some of to be a good doctor in my opinion, but not only are many of the things I intend to teach, eventually, as students prove to be reasonable and good, applicable to many animals- But there are techniques for affecting plants and microbes as well. I know the pace may seem slow for now, but one needs a good foundation of knowledge and an inquisitive attitude to really understand."