My daughter 1.3 yrs just ate something white tiny material. I don't know what just heard the crack sound biting with her teeth. Before I could pull out she swallowed. Should I be worrying?

Hi, What that thing might be? Part of some toy, a plastic, a rubber? If you fear that it may be a plastic part of some toy then I think you give a call to your doctor and check with him. Else, keep a watch at her and if she shows some unusual thing in her behaviour or you see her to be dull as compared to other days then you go to the doctor. Otherwise, whatever she has swallowed will come out with the poop.