Is it normal to have a crush on your cousin?
Depends.It depends
Having a crush on your cousin can happen, and the feeling alone doesn’t make you bad or weird. Whether to act on it is a separate question, with family boundaries and possible fallout to consider.
Crushes can show up in unexpected places, including within a family. You don’t choose every feeling that crosses your mind, and having one doesn’t mean you need to do anything about it.
People have different comfort levels about cousin relationships, and laws and family norms vary. Before acting on the crush, think about whether you’re both adults, whether the interest is mutual, and how it could affect the wider family. It’s also completely reasonable to keep it as a private feeling and let it pass.