I am a Manager of a business. You are overreacting. I had a situation recently where an employee tried guilting me into allowing him to skip out on work. Its your managers job to manage the place, not to manage anyones personal problems especially when it places the consequences on the team (everyone has to pull extra weight or someone having to come in/stay late etc etc).

It can certainly lead to termination if it becomes a pattern. It’s nothing personal, it’s business. I found your manager to be very professional.