"My time" is an expression used by divorced, separated or widowed women who have grown up children. They are now looking for a male companion either for friendship or a long term romance
The profile of a woman who uses the phrase "My time" tends to read as follows - "My children are all grown up. Several are married. I have lovely grandchildren. I live on my own. My children are scattered around the world so unless I visit there is no call for me to babysit. I love travelling and regularly visit them to see the children and grandchildren. This is "My time" now and I would love to meet a man of my own of my own age. Let's have a meal in a quiet restaurant, a few glasses of wine, and see if we click. If we do we can arrange to meet again"