Oxford gives delay + -ing for an action that is put off. A to-infinitive elsewhere in the sentence can serve another purpose, but it is not the reviewed direct complement pattern.
ReviewedEvidence2 sourcesSectionEnglish Usage
Quick answer
Use “delay doing,” not a direct “delay to do,” when delay is followed by another verb describing the postponed action.
Key details
Confusion Familygrammar-and-usage distinction
Rule Familyverb complement pattern
TermsDelay Doing, Delay To Do
Further guidance
Boundary
Do not treat “delay to do” as an interchangeable infinitive alternative to “delay doing.”
Construction
Oxford lists “delay doing something” for postponing an action.
Decision
Choose “delay doing” for the direct verb complement.
Sources and evidence
Sources are shown with the role they play in this guide. Historical or style-sensitive claims are kept within the evidence boundary described above.
Cambridge documents both admit + -ing and admit to + -ing for acknowledging something. Other passive patterns such as “be admitted to be” are separate constructions.
Both patterns are standard. “Advise waiting” recommends an action generally or in context, while “advise him to wait” names the person who is advised to perform it. A that-clause is another standard option.
When “afford” is followed directly by another verb, standard learner references use a to-infinitive: “afford to do.” An -ing form can appear elsewhere in a sentence, but it is not a like-for-like direct complement after “afford.”
“Agree to do” expresses consent to take an action. An -ing form normally follows a preposition in patterns such as “agree with doing,” which expresses approval rather than the direct promise-to-act construction.
Cambridge documents aim + to-infinitive for intention and aim at for directing effort toward an objective. Do not omit the preposition and present bare “aim doing” as equivalent to “aim to do.”
“Allow” can take an activity as its object, as in “allow smoking,” or a person/thing followed by a to-infinitive, as in “allow visitors to enter.” The patterns answer different structural questions: what is allowed versus who is allowed to do what.