My company partnered together on a project with another company, located in another country. In the near future, there may be need to have co-location to expedite debugging of issues that may or may not come up.
The other company wants me to travel to their site and stay there until the potential problems are resolved. This may be a week or could be months.
I don't want to travel to this other country for many reasons. Among these are my safety concerns (this isn't a country known to honor women's rights exactly), the fact that I have a dog and a cat and plants that need to be cared for, the fact that I have a medical condition (MS) that has a tendency to flare up in times of stress, and the fact that I plainly don't want to be away for an indefinite amount of time.
I have no one to leave my dog with. Yes, I could board him, but that's expensive and I think a little cruel. He's still a young pup.
I think it's probably possible to have someone from the other company come here. I am also willing to shift my working hours to better match the other company.
I will speak with my immediate supervisor about this further, but I was curious what a polite or politically correct way to approach this is?