Sorry If I offended you.
I suggested the GU4 as being the closest to GU10 AND being compatible with the capless bi-pin base used for a lot of small halogen lamps including those in many microscopes, fibre optic light sources, projectors etc. I do know quite a lot about microscopes.
Using a mains lamp in any housing designed for a low voltage one is bound to present compromises around insulation and safety. 12V dimmers are readily available either as inline or panel mount for a few pounds. You can use the existing transformer if you wish or a simple, safe 12V “wall-wart” type.
I can’t identify the dimmer you mentioned, do you have a link?
GU10 lamps are also available in 12V if you are stuck on that type.
Robert.