Wiktionary
n. (context uncountable informal English) Time to oneself; a period spent relaxing on one's own.
Wikipedia
Me Time is the debut EP by country singer Lisa Matassa, released on March 31, 2011.
Usage examples of "me time".
It just seems like the thing to do, and it buys me time to think about what to say.
To fire at that sloping forehead I knew would be worse than useless, and so I quickly shifted my aim and pulled the trigger, hoping against hope that the soft-nosed bullet and the heavy charge of powder would have sufficient stopping effect to give me time to place a second shot.
Your messenger had to track me down there, and as it happens, he arrived just as I did, not giving me time to even grab a bite to eat before I had to leave again to get here.
You yourself told me time and time again that you stayed with me because you found what I said about the world fascinating.