One who cannot easily pleased:

One who cannot easily pleased: Correct Answer Fastidious

The one word substitution is Fastidious.

Cosmopolitan : familiar with and at ease in many different countries and cultures.
Frightening : making someone afraid or anxious; terrifying.
Feminist : a person who supports feminism.
Fastidious : very attentive to and concerned about accuracy and detail.

Related Questions

One who is not easily pleased by anything =
One who is not easily pleased by anything
Which one is the correct passive form of the sentence 'Your conduct pleased me'?
Because she had reputation for---we were surprised and pleased when she greeted us so---
We must look pleased or else he'll be-----