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.
The main characters are clearly Amy Fleming and Ty. Amy is the one who gets hurt and yells for Ty. Ty is the person she calls out to, likely someone she has a strong connection with, perhaps a romantic one.
One possible plot could be that Amy Fleming gets injured in some sort of accident on the ranch. Maybe she's thrown from a horse or gets caught in a fence. In her pain, she yells for Ty, her love interest. Ty then rushes to her side, and the story could follow their emotional connection as he tries to take care of her and make sure she recovers. It could also involve their relationship growing stronger through this difficult situation.
Another possibility is that she got into an altercation with someone. Perhaps there was a conflict with another character, and things got physical, resulting in her getting hurt. However, without more context from the fanfic, it's hard to be certain.
It's also possible that Ty is a mentor - like figure to Amy. He could be someone she looks up to and has learned a lot from. When she's hurt, she yells for him because she knows he'll know what to do, whether it's to comfort her, treat her injury, or get further help.
In this fanfic, it might be that Amy Fleming yells for Ty out of anger. Maybe Ty did something that she didn't like, like making a decision about a horse without consulting her. Her yelling could then lead to a big argument between them that eventually resolves into a deeper understanding of each other.
I'm not sure specifically who Ty is without more context from the fanfic, but he's clearly someone who has a connection with Amy and is willing to take care of her when she's sick.
It could be a story of conflict. Maybe Amy Fleming has some sort of disagreement with Ty and she yells at him out of frustration. This could be due to differences in their approaches to handling a particular situation, like taking care of an animal on a ranch. For example, if Ty wants to use a more modern medical approach and Amy believes in a more traditional one.
Well, perhaps in this fanfic, Amy's injury is quite serious. When she calls Ty, he's initially shocked but then springs into action. He takes her to the vet clinic and stays with her throughout her recovery. During this time, they reminisce about old times and their friendship slowly blossoms into something more romantic.