What do you suggest if my child got the chicken pox vaccination can she still get chicken pox?

Possibly. Introduced in the late 70's in japan, the current CP vaccine was not adopted in the us until the 90's. There are good data that one dose removes the risk of death with cp, but likely only 85% get protective immunity from 1 dose, with that improving to >95% after 2 doses given at least a month apart. Time will tell if future boosters are needed but with 30+ years of worldwide data it looks good.