Lice are actually very species specific and human head lice only pass among humans and are not carried by any other species including birds.
While birds can have lice and people can have lice we each get a species that is specially adapted to live on us and we can't serve as hosts for the other types.
So your bird is safe from human head lice.
Hope this helps you!
Wild Bird Expert
Rehabbing wild birds, raising nestlings, study and observation of many species