Delicate and rough are unrelated to wordy. Concede also does not fit with wordy as it means to give in. The obvious choice is then verbose, which means to speak or write using too many words.
Notorious means famous or well known, typically for some bad quality or deed. Notable means worthy of attention or notice; while they are not perfect synonyms, notable is the best fit among the provided choices.
Gratify means to give someone pleasure or satisfaction. Indulge means to allow oneself to enjoy the pleasure of something, which is synonymous in this context.
Endure means to suffer patiently or remain in existence. Tolerate is a synonym meaning to allow the existence or occurrence of something without interference.