This is the 6234th most frequent French word.
fortement
Strongly.
Here, 'fortement' modifies the verb 'influencée', indicating the degree to which the influence occurred.
Elle a été fortement influencée par ses proches.
She was strongly influenced by her relatives.
In this sentence, 'fortement' qualifies the verb 'endommagé', describing the extent of the damage caused by the storm.
La tempête a fortement endommagé les bâtiments.
The storm strongly damaged the buildings.
In this context, 'fortement' emphasizes the intensity of the insistence expressed by the verb 'insisté'.