What printer do you have? I'm assuming it is a RGB based inkjet with CMYK ink, but if not, then disregard the following. Also, we may have a different understanding of "dither".
Unless the yellow in the image exactly matches the yellow of your ink (very unlikely unless you know the Pantone-equiv of your yellow ink), the print-driver will HAVE to mix (quasi-dither) extremely small droplets of colored ink, using some Cyan and Magenta (probably not K=black, and almost certainly not red dots, and definitely not blue dots).
My understanding is that each monitor pixel can be eventually comprised of dozens or even hundreds of ink dots laid down by the print-head.
And it is actually more complicated, as there is a whole "pipe-line" of mathematical adjustments that happen between the file image on your computer's hard drive, through the software (like Photoshop or Lightroom) displaying on the monitor, apply the printer-profile (vendor generic or custom or other) to the o/s print-driver plug-in, and then the firmware on the printer itself.
FWIW: my understanding is that "dithering" in Photoshop is more of an issue with 8-bit color channels when the monitor and/or video card can't accomplish this fine of gradation (banding). With 16-bit color channels in the image, some form of dithering will pretty much always happen, unless you have very, very high end hardware.
With printing, the equivalent of dithering pretty much always happens, unless you are printing "synthetic" colors.
Eventually, you may need a custom colour profile, but I'd hold off on that for now.
