It could be as simple as a microbe that eats an elementary molecule in our bodies that is so foreign our immune system can't spot it. No need to target us directly.
Quite likely; we’re pretty closely related to those, and multiple species viruses show up all the time. It would be more surprising, though, to find a virus which was pathogenic to, say, both us and archaea, and any Venus life is probably more different to us than archaea are.
A bacteria analogue is possibly more of a risk; those can be less fussy.
We get infected by bird viruses all the time, and they're not even mammals. A virus that evolved in mammals infecting different types of mammals is very likely.