The phrase "a private time" is correct and usable in written English.
It can be used to refer to a period when someone is alone or in a setting that is not open to the public, often for personal reflection or intimacy.
Example: "After a long week, I really need a private time to unwind and gather my thoughts."
Alternatives: "a personal moment" or "a secluded time".
That was a private time for them and I won't describe it any other way".
It was this, says Tina, that convinced her to take part in the filming, despite feeling that pregnancy was a "private time".
Organizers of Churchill 2015 plan no other events for that day, considering it a private time for the Churchill family.
The greatest thing about that phone call is [screenwriter] Peter Morgan's imaginative notion of what it would be like if these two epic monsters found a way to have a private time together, which they never did have -- that intimate a time together -- and what it would be like, what would Nixon say.
Find a private time to do it.
You should choose a private time for a first kiss.
At Harvard, Neil Rudenstine created a private time-distribution formula to keep his priorities straight: he told himself he would devote no less than half his time to the intellectual life of the institution — academic planning, faculty searches, tenured appointments — and no more than a third to fund-raising.
We highlighted the Rez Trance Vibrator as a private-time plaything last year, our writer explaining that the music-responsive buzzer was "somewhat 'weak' for a sex toy, though nonetheless pleasurable".
(Participant)" " I think it's a very private time labour, and I think you should have a choice as to who is to be there.
Even if you are sad or angry, think about all the reasons you should be happy in a public situation, and try to save those heavy emotions for a more private time with close friends and family.
The chaperone -- this reporter, if you haven't figured it out already -- figured she would be able to leave the couple during dinner so the lovebirds could enjoy a little private time.
