becasue in this sentence the "have" is an infinitive, not a conjugated verb
She doesn't swim ( do is the main verb (the conjugated one) and "swim" is an infinitive)
She doesn't eat well (eat is infinitve )
He is doesn't have his books with him (have is infinitive)
or with another help verb/main verb
he wants to eat icecream (eat is infinitive)
she loves to write (write is infintive)