I think it's very healthy that you don't want her things surrounding you. I'm impressed! That would be my priority--"Given you've committed to living elsewhere for the next 10 months, I request that you please remove your belongings from my home by Oct 1, 2021."
If she disagrees, or doesn't agree within a week, or doesn't remove her things by that deadline, I'd begin taking alternate measures. E.g., paying to have the items moved to storage and accounting it as a shared cost, accelerating settling the mortgage, or discussing options with a lawyer. Please note I would not threaten any of these things as that may make it easier for her to block them.
In the US, if you're legally married, it's trivial to have a temporary restraining order issued on the shared bank account and mortgage, limiting the need to actually separate them out at this point. I know because that was my first "volley" when I was ready to leave my XW. Are you legally married? (In 2021, some places, unfortunately, do not recognize same-sex marriages and afford them the same rights and protections as opposite-sex marriages.) Are you in the US or UK?
