  Single epitaxial quantum dots (QDs) embedded in nanophotonic geometries are a
leading technology for quantum light generation. However, efficiently coupling
their emission into a single mode fiber or Gaussian beam often remains
challenging. Here, we use direct laser writing (DLW) to address this challenge
by fabricating 1 $\mu$m diameter polymer nanowires (PNWs) in-contact-with and
perpendicular-to a QD-containing GaAs layer. QD emission is coupled to the
PNW's HE$_{11}$ waveguide mode, enhancing collection efficiency into a
single-mode fiber. PNW fabrication does not alter the QD device layer, making
PNWs well-suited for augmenting preexisting in-plane geometries. We study
standalone PNWs and PNWs in conjunction with metallic nanoring devices that
have been previously established for increasing extraction of QD emission. We
report methods that mitigate standing wave reflections and heat, caused by
GaAs's absorption/reflection of the lithography beam, which otherwise prevent
PNW fabrication. We observe a factor of $(3.0 \pm 0.7)\times$ improvement in a
nanoring system with a PNW compared to the same system without a PNW, in line
with numerical results, highlighting the PNW's ability to waveguide QD emission
and increase collection efficiency simultaneously. These results demonstrate
new DLW functionality in service of quantum emitter photonics that maintains
compatibility with existing top-down fabrication approaches.
