Interpreting someone's behavior and feelings can be complex and may not always have a straightforward explanation. However, there could be a few possible reasons for this girl's behavior:
Mixed Feelings: It's possible that she has mixed feelings about you. She might find some aspects of your personality irritating while still enjoying your company or finding other qualities attractive.
Attention-Seeking: Some people enjoy engaging with others they find irritating because it draws attention or creates drama. They may thrive on the emotional rollercoaster, even if it's not a healthy dynamic.
Politeness or Social Obligation: She might feel obligated to talk to you due to social norms or politeness. Even if she finds you irritating, she doesn't want to be rude or hurt your feelings.
Trying to Understand: Perhaps she wants to get to know you better to understand why she finds you irritating or to find common ground.
Flirting or Teasing: Sometimes, people use playful teasing or flirting as a way to interact, even if they have some reservations about the person involved.
Changes in Perception: People's opinions and feelings about others can change over time. Maybe she initially found you irritating but has started to see you differently as she gets to know you better.
It's important not to jump to conclusions or overanalyze the situation too much. If her behavior bothers you or you want to understand her feelings better, consider having an open and honest conversation with her. Communication is key in resolving misunderstandings or addressing any concerns either of you may have. Respect her feelings and boundaries, and remember that everyone has their unique preferences and ways of expressing themselves.