hundreds of police officers lined to in a guard of honour at the funeral of policewoman louise .
onlookers say the pair were inches from the bus but sgt lucas managed to push her daughter to safety and took the full impact of the collision .
the mother-of-three , from llanishen , cardiff , was rushed to the city 's morriston hospital where doctors battled to save her eight-year-old olivia .
her daughter escaped with minor injuries in the incident on march 31 .