Actually this Mom-son duo are both emotional fools. I think when Rashid proposed her to join him it was a lost battle, she knew. She fought with herself halfheartedly to deny him. But the offer was something she had been waiting for, for too long to deny. She knew how that will effect Asad but it was situation where the choice was made. There was no alternative for her.
And when she got to know that Asad has decided to leave it got her hyper, so on the first given opportunity, she emotionally blackmailed Asad to stay back in SM may be to keep him in front of her eyes to be assured that Asad isn't going anywhere. There can be no other logic of him staying there.