Answer:
The term "support" most likely means that Malala's parents are okay with her choice to oppose the Taliban's rule against girls’ education and that they are behind her in her actions.
Step-by-step explanation:
The word "support" means to provide help, assistance, to bear, to carry, depending on the context. It mostly concerns help or assistance.
In the given context from the BBC report "Profile: Malala Yousafzai", the word "support" is used to talk of the assistance or aid that Malala got from her parents. It means that her parents are okay with her choice to work towards encouraging girls to be educated and also that they are behind her in her decision to be an activist, despite the dangerousness of the stance.