It is a polite way of expressing refusal or dislike, and it is often used in situations where you want to decline something gently.
Here are some examples of how "ayaw naman" can be used in a sentence:
* "Ayaw naman ko iti." (I don't want this.)
* "Ayaw naman ak a kumakan iti." (I don't want to eat this.)
* "Ayaw naman ko nga umay." (I don't want to come.)
Note: The word "naman" adds a bit of emphasis and makes the statement sound more polite. It can be omitted, but the sentence will sound more direct and less polite.