Shared ground
Titus 2:15 closes the chapter’s teaching with a direct charge to Titus. The verse assumes that the instructions just given are not optional advice but material Titus must keep communicating (“say these things”). It also assumes that teaching is meant to produce real response and correction in a community, not merely provide information.
The verse presents three related duties: ongoing instruction, urging a fitting response, and correcting what contradicts that teaching. The correction element is explicit in the word translated rebuke: it involves exposing and addressing what is wrong, not simply expressing disapproval.
The verse also links the messenger’s credibility to the message’s reception. “Let no one despise you” implies that if Titus is treated as insignificant, the teaching itself will be easier to ignore.
Where interpretation differs
Two main questions come up.
First, “with all authority” may be read as emphasizing Titus’s personal manner (he should speak firmly and confidently), or as emphasizing the official weight of a commission entrusted to him (he speaks on behalf of Paul’s directive for the churches).
Second, “Let no one despise you” may be taken as mainly about Titus’s internal resolve (he should not be intimidated), or mainly about public posture and conduct (he should carry out his role in a way that does not allow others to dismiss him).
Why the disagreement exists
The verse is short and does not explain the source of Titus’s authority, nor does it spell out the practical steps by which contempt is prevented. The immediate context (a delegated worker organizing communities on Crete) makes “delegated commission” plausible, but the wording also naturally includes personal boldness. Likewise, the command about being despised could address attitude, behavior, or both.
What this passage clearly contributes
Explicitly, the text claims Titus must (1) keep speaking the content of the chapter, (2) urge response, and (3) correct wrongdoing, doing so “with all authority,” and (4) not allow others to treat him with contempt. Inference (consistent with the letter’s wider flow) is that healthy community life depends on teaching that is communicated, pressed home, and defended against undermining pressures—especially when correction is unpopular (compare Titus 1:9 and Titus 1:16).