This is pretty fascinating. Of course this video has been burning across the Internet.
The fact that this guy doesn't know what the device is doesn't mean the woman is a time traveler. Nor does the fact that the woman "looks like a man" mean anything as far as time traveling goes. After all, if you were trying to be an incognito time traveler, why would you cross-dress?
What is the person holding to her ear? Probably an ear trumpet. Or a cold compress. Or any of a hundred other devices people used back then that we don't readily recall.
One thing it's probably not? A cell phone.