You will get chipping---and the cut will not be perfect----A picture of the area to be cut and the walls at the cut point would help----
If a few tiles could be salvaged from the demolition and used to replace the doorway tiles (after cleaning and cutting) you could get a clean edge---some grout would need replacing----which might look obvious,if the grout is older---
If a few tiles could be salvaged from the demolition and used to replace the doorway tiles (after cleaning and cutting) you could get a clean edge---some grout would need replacing----which might look obvious,if the grout is older---