Yes, many times and I’m sure many mothers especially FTM go thru this :) Maybe think of it another way, the child trust you the most, to them, they are you and vice versa, so they will always show their worse side to you. But that is also because they trust you the most.
They are calm towards others because to outsiders, their mindset is always to give in whatever the kid wants. But as mothers, we don’t want it to be a habit so we will always be the bad guy telling them no. But they will still love you regardless.
I used to be frustrated too, as she grows older, if someone can calm her down instead of letting her cries get to me and end scolding or even smacking her, i would rather someone take her and let me have my peace. Eventually, you are the mother and that is something that won’t change. When your kid falls down or feels upset, they will think and come to you first.
It’s okay to not to be okay, we are mothers, but we are human too. Stay strong! 😊