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As a mom of 3 and a non-traditional college student (46 yrs. old to be exact), I can tell you that the other students do mind and are annoyed by the disruption. Emergencies can happen to anyone once in a while, but when it becomes a chronic problem, people notice and tolerance goes out the window. There have been classes that I wanted to take, but couldn't take because the time slot interfered with my other responsibilities. That's life and I just work around that.
In one of my classes, I met a young woman (also non-traditional student) that registered for a summer class, but she couldn't actually attend class because she was at work.

A couple of days before the first exam, she emailed the professor asking what was going on in the class. The professor told her that if she hadn't missed class, she'd would know what was going on. She told the professor that she couldn't leave work to attend class.

The professor wasn't too receptive to her predicament.

This woman was livid over the professor's lack of interest.

I had a really difficult time keeping a straight face when she told me her story.

I met another non-traditional student (man in his 50's) that didn't want to put the work and effort into the class, but wanted to get credit for trying.

One of the younger students told him that if the university gave everyone credit just for trying, then their degrees would be worthless.
Everyone has a sob story that they believe makes them unique and special. Being a non-traditional student is challenging because you normally have additional responsibilities. However, that shouldn't entitle you to special treatment. It's like I've told my kids for years, the world isn't waiting for you to join it. You are the one that has to adapt to the situation.