Tritrichomonas in kitten, with dog in the house

So I recently adopted a kitten, and it was diagnosed with Tritrichomonas and giardia, since learning about it, I have the kitten quarantining at the shelter we got it from, since I also have a dog but learning about the Tritrichomonas it looks like its difficult for it to go away completely, and im just worried about my dog catching it from the cat, even considering giving the kitten back if the kitten could pose a health risk to my dog even after treatment

Has anyone ever dealt with Tritrichomonas? I know about giardia and I know its curable but thats not my main concern