syntax analysis help: are objects verb complement)

It is an open interrogative content clause which acts as complement to the verb wondering (CaGEL p972).

The word order seems a bit off as interrogative content clauses usually do not have subject-auxiliary inversion unless they are cited, e.g.

Easily the most popular question put to the PM was: Why are we buying New Zealand carpets for the new Parliament House?

Objects are almost always NPs, are one sort of complement, and behave differently from other possible complements to the verb (to-infinitivals, declarative content clauses, interrogative content clauses, etc.)(CaGEL p 213).