She might run into a group of rebels. If the alternate dimension has some sort of oppressive regime, there are likely to be rebels fighting against it. Amy could get involved with their cause and help them in their struggle.
She could meet an alternate version of herself. This other Amy Rose might have different values or goals.
She might encounter strange creatures. For example, in many alternate dimension stories, there are unique beings that don't exist in our world. Maybe she'll meet a talking animal or a floating jelly - like entity.
Well, she might encounter different versions of her friends. Maybe a Sonic who has a completely different personality or abilities. For example, he could be a dark Sonic in that alternate dimension.
There could be a wise old wizard - like figure in the other dimension who guides Amy. He has lived for centuries and knows all the secrets of this strange place.
Maybe Amy discovers a magical portal in her attic that leads to another dimension. In that dimension, the laws of physics are different, and she has to adapt quickly to survive. There could be strange creatures she befriends or battles against.
Perhaps he'd meet a different Hokage. One who has led the village in a completely different way than in his own dimension. Naruto could learn a great deal from this Hokage about leadership and different ways to protect the village.
Amy Fleming and Ty are likely characters from a particular series or fandom. They could be characters who have a relationship, perhaps friends or more than friends. Without more context, it's hard to say exactly who they are in the grand scheme of things, but they must be important to the story if Amy is yelling for Ty.
Maybe she's a writer or a critic. If she's a writer, she might have written something that either supported or challenged the norms in fanfic. As a critic, she could have given her views on the fanfic world, like commenting on the creativity or lack of it in fanfics.
Often, she will be very protective. Amy would try to shield Sonic from any further harm. She could stand guard over him and not let anyone or anything get close that might pose a threat.
Her family could be a great help. They might come over to take care of the sick kid when Amy needs a break or help with other household chores so she can focus on the child.