Does your dog or cat or pet give the unique consent to someone to do sth?

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hi everyone, i would like to discuss some questions about pet. my dog has some actions sticked to me,for example: she only let me to comb her fur,only me, and someone else who would like to comb will receive her merciless bite, such as my mom and one of my neighbor who really likes her and feeds her a lot.when they comb her fur, she will snarl at first and then turn her head suddenly to bite them that they always get shocked and become afraid.that action of my dog really annoys my neighbor becoz she loves my dog too.she and my mom dont know what to do with this,neither do i. its the same thing with my dog's taking bath.my dog only allows me to take her to the bath.someone else who is willing to take her to her bath will again receive her fierce bite.my mom had tried to wash her in the bathroom for twice,but twice i and my dad heard them fighting violently in it and then my mom would go out furiously blaming my dog and my dog also would jump out there with her wetting fur to hide somewhere...its really weird so that i have to take the burden to give my dog a bath. does your dog or cat or other pet have the unique permit for someone to do something special?are you the special person it chooses?if you are, what is the response of others in your family,esp.someone who also love the pet but will not be allowed to do some special thing to it?