You are free to place a period wherever you wish. It is my perogitive not to follow single words with a little dot. It is poor grammar to do so.
Sure, I know I am guilty of using incomplete sentences. The examples are in my post A SUNDAY DRIVE ON SATURDAY.
However, I prefer to avoid joining the fray of what is considered in vogue. The only one word sentences worthy of a period immediately following it are the words yes and no. For example:
“Do you believe anything a habitual liar tells you?”
“Is our country being deceived by a nasty sociopath incapable of any true compassion?”
This is an indication of not only my political views. Sixty-seven years of life lessons will not be upended by someone who displays a lack of common language skills telling the masses what they think we want to hear.