As has been said having a career and a child is tough. Our hospital has a barely sick unit, staffed with a nurse and an aide. If a nurse's child is too sick to go to their day care or school, but not sick enough for the nurse to stay home and take care of the child they can go there.
Sick time for the nurse applies to the child as well, a nurse who calls in "my child is sick" is asked no questions or gets no negative feedback. His or her sick time applies to the child as well.
I've had several non-nursing jobs
and have had to put up with negativity, gossip, and mean people there. Nursing is no different that elsewhere in the working world I'm sure of that. We come here to vent, and that sometimes taints the novices view of nursing.
If you need special consideration in your schedule for your child, then make that well known when you are interviewing, and if they can't accommodate that don't take the job. I'm working with a nurse that needs every weekend off because of baby sitting problems. She just started and never mentioned that, and knew it when she interviewed that she had no weekend coverage for her child. Now she's about to be written up for a pattern of call ins every weekend she is scheduled. She's has such self-rightous indignation "my child comes first". Well this was an every-other-weekend job when you were hired, if you can't meet the job description, don't take it. Don't make demands after you are hired.
Nursing is a 24-hour job, the hours are strange, but there is a job out there somewhere for you that you'll be good at and that you will be happy at. Good luck.