The problem is Mr. Burke, you see. His secretary isn't here right now.
Literal
Problem [copula-な] [nom-の] [topic-は] Burke-san [copula-な] [explanatory-のよ]. His secretary [subj-が] now not-here [explanatory-のよ].
のよ (explanatory の + feminine-assertive よ) appears twice, giving a distinctly feminine, confiding tone. The speaker identifies the problem (Mr. Burke) and then explains why (his secretary is absent).