Why do I get these wrong colours when printing

Much can depend on your color settings, such as rendering intent and whether you are using Lightroom or the Printer to Manage color. I suggest using Lightroom and assignment the proper color profile. Also, the colors in your first image are rather saturated and might be out of gamut, meaning your printing setup (printer, ink, and paper) might not be capable of reproducing the colors. Sharing more details about your setup might prove useful for a more accurate response.

warmly/j

When printing, make sure you have color management turned on in either LR or in the printer driver.

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