There's a Bluray drive there, can you also insert a DVD there without breaking it?
Yes. Load and play. No problem.
Something doesn't break either she reads it or she doesn't and spits it out again
I can watch every DVD on my Xbox One as normal.
The blueray drive is backwards compatible. I.e. It reads everything from normal audio cd to mp3 cds, cd roms, dvd-rom or dvd…
I see the biggest problem in the licensing question, so may the xbox play dvd because microsoft paid for it or shouldn't it?
but I think yes, in the worst case the dvd would not work. Nothing can break.