Of course she will have time for walking free, but this only in the hall and balcony (when the weather is fine), not in the room.
That wire is very tough, iron or something like that (I'm not so sure).
My Guinea pig females also have a cage almost like this (I'm talking about the wires) and they have been chewing it for years, but nothing happened, except the paint, that has been removed in some areas.:lol: