  We study the two-point function of the stress-tensor multiplet of
$\mathcal{N}=4$ SYM in the presence of a line defect. To be more precise, we
focus on the single-trace operator of conformal dimension two that sits in the
$20'$ irrep of the $\mathfrak{so}(6)_\text{R}$ R-symmetry, and add a
Maldacena-Wilson line to the configuration which makes the two-point function
non-trivial. We use a combination of perturbation theory and defect CFT
techniques to obtain results up to next-to-leading order in the coupling
constant. Being a defect CFT correlator, there exist two (super)conformal block
expansions which capture defect and bulk data respectively. We present a
closed-form formula for the defect CFT data, which allows to write an efficient
Taylor series for the correlator in the limit when one of the operators is
close to the line. The bulk channel is technically harder and closed-form
formulae are particularly challenging to obtain, nevertheless we use our
analysis to check against well-known data of $\mathcal{N}=4$ SYM. In
particular, we recover the correct anomalous dimensions of a famous tower of
twist-two operators (which includes the Konishi multiplet), and successfully
compare the one-point function of the stress-tensor multiplet with results
obtained using matrix-model techniques.
