Refusing to transfer a low-performing employee to another province

We're opening a brand-new store, and don't want to grant a transfer a low-performing worker
By Brian Johnston
|Canadian Employment Law Today

Question:

One of our employees, who has been with the company 13 years, has requested a transfer to one of our retail stores in another province. We're opening a brand-new store there and have yet to hire any employees. This worker isn't an ideal employee, and we don't want to grant her the transfer to the new store.

Are we within our rights to say no? Or are we exposing ourselves to a lawsuit? What rights does an employee have to request a transfer and what rights does an employer have to say no? (We are not unionized, if that makes a difference.)