The answer is: progenitor cell.
When a stem cell divides, it originates another stem cell and a progenitor cell.
A progenitor cell is similar to a stem cell but has the tendency to differentiate into a specific type of cell (it already has a 'target' function- for example: skin, blood, muscle cells...). It's more specific than a stem cell and is closer to differentiate. Something very important that can be told to the patient is that this cells can't replicate indefinitely like stem cells, they have a limit number of divisions.