Cambridge lists reluctant with a to-infinitive for unwillingness or hesitation. The page therefore preserves the documented infinitive construction and rejects inferred gerund symmetry.
ReviewedEvidence1 sourceSectionEnglish Usage
Quick answer
Use “reluctant to do something.” Cambridge directly documents reluctant + to-infinitive; a bare “reluctant doing” complement is not licensed by that evidence.
Cambridge directly records amazed + to-infinitive and amazed at + complement, making it an evidence-safe replacement for the unsupported Satisfied proposal.
Oxford directly records both ashamed + to-infinitive and ashamed of + noun/pronoun. The guide compares those attested structures without inventing an unsupported parallel complement.
Oxford directly documents averse to (doing) something. This is a prepositional to + noun/-ing construction, so a bare infinitive should not be assumed to be an interchangeable complement.
Oxford documents the idiomatic adjective pattern bent on (doing) something for determination. The evidence does not license a parallel bent + to-infinitive complement for that same meaning.