I've written a fictional story and the way my characters are coming together and forming a bond seems way too coincidental to me.
A lady lives on the first floor while her tenant, a guy, lives on the ground floor. A girl is supposed to meet that lady but, on the day of their meeting, the lady has to attend to urgent work so she leaves, without informing the girl. When the girl, who is on her way to that lady's home, calls her, she is then informed of the situation. For all the right reasons the girl has to meet her that very day and she decides that she'll wait for her outside her house. The lady then suggests that the girl can wait at her tenant's place, who is very kind. The girl is about to reach that place when she sees children playing in the house adjacent to the one she's supposed to enter. For all the right reasons, she joins the children just to know that one of them suddenly wants to go home, for he is sick. Turns out that the sick kid is the lady's child. The kid wants to go back to his house, to the tenant, as he was in-charge of the kid for the day. For all the right reasons, she is the one to take him to that guy. While waiting for the lady to come she takes care of the kid in a way that makes the guy fall for her.
Everything that has happened is kind of a coincidence but it is the turning point for all the characters to come together. The girl getting in the lady's good books and being friends with that kid. The guy seeing her take care of the kid.
I can't get past the coincidental urgency of the lady and the kid falling sick just in time to let the girl take him to his home.
Will the reader be able to digest such a big moment as a coincidence?
This is the only coincidental situation I have created in the story. No other coincidences.
Have I made a mistake in creating the situation?