  We calculate the leading contributions to the connected two-point functions
of protected scalar operators in the defect version of N=4 SYM theory which is
dual to the D5-D3 probe-brane system with k units of background gauge field
flux. This involves several types of two-point functions which are vanishing in
the theory without the defect, such as two-point functions of operators of
unequal conformal dimension. We furthermore exploit the operator product
expansion (OPE) and the boundary operator expansion (BOE), which form the basis
of the boundary conformal bootstrap equations, to extract conformal data both
about the defect CFT and about N=4 SYM theory without the defect. From the
knowledge of the one- and two-point functions of the defect theory, we extract
certain structure constants of N=4 SYM theory using the (bulk) OPE and
constrain certain bulk-bulk-to-boundary couplings using the BOE. The extraction
of the former relies on a non-trivial, polynomial k dependence of the one-point
functions, which we explicitly demonstrate. In addition, it requires the
knowledge of the one-point functions of SU$(2)$ descendant operators, which we
likewise explicitly determine.
