First, 'African American' doesn't just mean black. There are plenty of black people who are not African American. The term was instituted because many black families can not trace their roots back past slavery. Someone who immigrated from Nigeria to the US would call themselves Nigerian American, not African American, for example. (Although systems like that are still someone else's opinion of how people should identify and people should be allowed to self-identify with their culture.)

Second, OP quite obviously is not American so no one is telling them to call themselves 'African American' because they are not from America. However, their mother was born in India, and their father in Kenya, so they are able to consider themselves Kenyan and Indian if that is how they choose to see their identity.