Choose the most suitable option to replace the highlighted part of the sentence:

She has the reputation to be an honest leader.

The correct option is of being an honest leader.

Explanation:
In English grammar, certain nouns are followed by specific prepositions and gerunds (verb + -ing) rather than an infinitive (to + verb).
The noun reputation takes the preposition of followed by a gerund when expressing the quality or characteristic for which someone is known. Therefore, the phrase "reputation of being" is grammatically correct, while "reputation to be" is incorrect.

Comparing the given options:
1. to have honesty - Incorrect preposition and structure.
2. of being an honest leader - Correct preposition ("of") and gerund ("being") maintaining the indefinite article "an" from the original context.
3. of being the honest leader - Changes the meaning unnecessarily by using the definite article "the".
4. to be honesty - Grammatically incorrect.

Thus, the sentence correctly written is:
"She has the reputation of being an honest leader."