In "The BFG," after his confrontation with the "Giant-Woman" (the BFG's mother), Albert doesn't do anything immediately. He is terrified and hides in the BFG's cave while the BFG hides from his mother.
The confrontation is brief, and the Giant-Woman quickly leaves. The BFG and Albert then continue their adventure, escaping from the other giants and traveling to London.
The confrontation with the Giant-Woman serves as a plot device to illustrate the BFG's fear of his mother and the danger the other giants pose to him and Albert.