Two comma + noun phrase

SupercatDoes this part of , daughter of a former Columbian president, have any name? What's this?

It's an appositive noun phrase.

Thank you, MM.
One more question:
Doesn't "daughter" have an article, does it? Is this possible because, if you say "a daughter of a former Columbian president", this means that the president has two or more daughters and Diana is likely to be one of them?

SupercatIs this possible because, if you say "a daughter of a former Columbian president", this means that the president has two or more daughters

That would be true but irrelevant to the situation here. This sentence could use 'the daughter', but 'daughter' is used as a sort of 'title'—a standard family relationship— so no 'the'.

Mister Micawber That would be true but irrelevant to the situation here.

I do agree!

Mister Micawber but 'daughter' is used as a sort of 'title'—a standard family relationship— so no 'the'.

Ooh really. ( o_o) This is the point always difficult for us. Thank you!

Hi MM, can I ask you again?

Must a phrase accompanying two commas as shown in that example (= ,~~~~,) be basically an appositive noun phrase? Or not always?

SupercatMust a phrase accompanying two commas as shown in that example (= ,~~~~,) be basically an appositive noun phrase? Or not always?

Probably not always; few things in English are always.