Why would a girl have no right to keep dogs? Because only hunting and guard dogs are allowed in Islam, and the people who shot Asoman to death likely assume that women have no business being involved with hunting or security.

“Once Gabriel promised the Prophet (that he would visit him, but Gabriel did not come) and later on he said, ‘We, angels, do not enter a house which contains a picture or a dog.’” — Sahih Bukhari 4.54.50

“Abdullah (b. Umar) (Allah be pleased with them) reported: Allah’s Messenger (may peace be upon him) ordered the killing of dogs and we would send (men) in Medina and its corners and we did not spare any dog that we did not kill, so much so that we killed the dog that accompanied the wet she-camel belonging to the people of the desert.” — Sahih Muslim 3811

“Ibn Mughaffal reported: The Messenger of Allah (may peace be upon him) ordered killing of the dogs, and then said: What about them, i. e. about other dogs? and then granted concession (to keep) the dog for hunting and the dog for (the security) of the herd, and said: When the dog licks the utensil, wash it seven times, and rub it with earth the eighth time.” — Sahih Muslim 551

“Afghan female athlete to leave the country after her dog shot dead by gunmen,” Khaama Press, February 9, 2020: