  Transition metal dichalcogenides have emerged as promising materials for
nano-photonic resonators due to their large refractive index, low absorption
within a large portion of the visible spectrum and compatibility with a wide
range of substrates. Here we use these properties to fabricate WS$_2$
double-pillar nano-antennas in a variety of geometries enabled by the
anisotropy in the crystal structure. Using dark field spectroscopy, we reveal
multiple Mie resonances, to which we couple WSe$_2$ monolayer photoluminescence
and achieve Purcell enhancement and an increased fluorescence by factors up to
240. We introduce post-fabrication atomic force microscope repositioning and
rotation of dimer nano-antennas, achieving gaps as small as 10$\pm$5 nm,
opening the possibility to a host of potential applications including strong
Purcell enhancement of single photon emitters and optical trapping, which we
study in simulations. Our findings highlight the advantages of using transition
metal dichalcogenides for nano-photonics by exploring new applications enabled
by their unique properties.
