Lu Tingting could only surrender her son to these people reluctantly. Even if she fought them, it would only make her son's life more miserable. Worst, if she stayed headstrong and went against them all at the cost of her life, Song Yu Han's safety might also be put into danger.
And that was something that Lu Tingting could not do as his mother.
She already had nothing left but her life. Would she even surrender her son's life just because she couldn't put down her pride and selfishness? She would rather become a bad mother to her son's eyes than see Cao Huiling hiring other people to kill off her son.
At the very least, now that the Old Patriarch had learned of her son's identity and had recognized him as his grandson, he would protect Song Yu Han and give him the lifestyle that he deserved.