Example: Don't be angry at me for asking this question, but are you rich?
Is there a term for the sentence in bold?
speechterminology
Example: Don't be angry at me for asking this question, but are you rich?
Is there a term for the sentence in bold?
Best Answer
Preamble is accurate; however, I believe in casual conversation that preface would be more usual.
It is often used in its verb form for just this sort of hedge (also a good option):
(This Google Search, and a broader search with lots more examples)
So in your example, you could say
If you were the speaker, you could even say
Edited to add:
As EdwinAshworth points out, while preface-as-a-verb might be as likely to refer to a casual or spoken statement as to a formal, written work, the primary meaning of the noun is still an introduction to a book. However, I do believe the noun is used this way, perhaps influenced by the idiomatic usage of the verb. Some examples from around the internet (all emphases mine):
And used sort of adjectively
In finding these examples, I noticed that prelude is also often used, particularly in the set-phrase "prelude to an insult" (this has even been the title of a book and a song). Preface still seems more common outside of that particular usage, and a little more neutral in terms of connotations (whereas preamble feels legal and stuffy due to its association with things like the US Constitution, and prelude feels elegant and possibly snooty due to its musical meaning, either of which might be desirable depending on usage).
In short, it doesn't appear that there's a single agreed-upon term, though several would be widely-understood. You could also call it something like a "preemptive pacification" which would be fairly precise but isn't particularly familiar.