Sure, it can be normal. Just like any person might be interested in what others write about them or their alter - ego. It's a way to connect with the fan community on a different level.
Well, it could be a way for the daredevil to see how others perceive their character. Maybe they find it interesting to see the different scenarios and relationships that fans come up with in the fanfiction.
One popular theme is exploring Matt Murdock's internal struggle with his dual identity. Another is his relationships, like his complex dynamic with Elektra. Also, the idea of how he balances his law career and vigilantism is often explored in fanfiction.
A strong - willed lawyer would be an ideal wife for Daredevil. She could help him with legal matters related to his vigilantism. Also, she would be able to hold her own in the dangerous world Daredevil inhabits.