As a rule, nothing should happen, but it is still not recommended.
I have always set my One and for some time the One X on fast boot. Means she is always on standby.
In addition, I have a turn-off power strip on the synonymous already hung my 360 and your Xbox. When I'm on work or longer I turn off the bar and have never had any problems with it.
In principle, you only do a hard reset.
I suppose I'm in the game and then we run out of power or my girlfriend pulls the plug while eating is dangerous for the xbox♂️
So in principle I think nothing of the Xbox, but savegames or the hard drive could certainly be damaged. Or maybe she hangs up, what z. B. Already happened