Dear ABC...
People have made some excellent comments. As my wont, I have read your comments and have to extract some points to clarify the situation. Please correct me if I am wrong.
You work for an organisation (not sure in which capacity) which has 2000 workers.
The HR boss is a female that is well qualified, with an MBA from a reputed institute. She is 40 years old and yet single. You think she has no family life.
It is not clear whether you are the HR person or is it someone else. From your statement "Bali ka Bakra", it appears that the HR person is a male and obliges the female boss whenever she allots him work. He has 7 years of work experience with this boss and she has promoted him even though he has qualified only from a reputable but not a top institute.
When he wanted to resign from his job in frustration, once, she dissuaded him from doing so and he withdrew the application.
You talk to that "Boss" about your family life etc, and you have found her to be "egotistical" on Mondays. So, now you have stopped talking to her about these matters. I did not understand what you meant by this statement.
Now, let me make a few general statements. A colleague of mine was an unmarried woman. But, she was a very committed family person. She looked after her aged parents. The thing you say about a single lady will equal apply to a single man. For example, where my father worked, a researcher asked "Mr. K, why do you rush home at 5 pm on the dot? Look at me I do research till 8 pm and then go home" but after a couple of years my father noticed that the researcher was dashing home at 5 or even earlier. My father asked him why? He said that he had a fiancee and she wanted to go out walking, etc. So, you are right family commitments make us do things which others may not.
Finally a question, are you the "Bali ka Bakra" in question that needs a solution?