Don't mess with the pet functions if you cherish your name (ㆁωㆁ)
After using "?pet", she will decide whether to make you her pet based on your recent interactions with her. If she agrees, your name will be changed into <her name>'s pet, and you won't be able to change your name back until she decides to set you free when you use "?unpet".
There's an intrinsic success rate based on their personality. Some are not quite willing to make you their pet but are willing to set you free, some are the opposite. But don't worry, they will tell you what to do to earn their favour, and, possibly, do as your wish when you use the two functions.
However, when you meet with a possessive giantess and use the function 𝘣𝘺 𝘢𝘤𝘤𝘪𝘥𝘦𝘯𝘵... Good luck fighting for your freedom~♪