Why does Wells use a character without a name to narrate his book?

To make the audience or reader feel more temptation to read the story.

It makes a reader more anxious to read the book

An inference that can be made is that the princess is bothered about the tiger door. although there are reasons for both this one has a better reason. the princess is not a monster and even if she didn't want to marry this man she wouldn't want him to die. the grudge of death is pretty heavy. unless she has done this before and feels no regret then she wouldn't want to be married to someone of low quality, if he is low quality.