Dragonborn didn't know the name of the Fairy, as the Fairy had no intention to interact much with him. The Fairy only wanted Dragonborn to help him find their Princess. This lone Fairy followed Dragonborn and Tomato out of the forest. Tomato said discreetly to Dragonborn that the Fairy was very confident of his power, and Tomato couldn't figure the Fairy out.
Dragonborn didn't feel nervous. Instead, he was even more excited. If the Fairy was powerful, it indicated that his Strange Encounter Mission Level was higher, meaning his rewards would be greater.
Though the Fairy didn't speak much, it could be seen from his behavior that he was very concerned about the Princess. He would frequently ask about the Princess.
When he heard that the Princess was imprisoned by Sherlock in Eternal Kingdom and that the gamers were friendly towards her, he was deep in thought. Dragonborn wasn't bothered by the Fairy's silence. After all, he was only an NPC.