OK first a little bit of history and some definitions.
There are many quantities in Physics that qualify for the term "Potential".
Potential difference simply means exactly that. The difference between potential A and potential B
ie PA - PB.
In what follows I will use the term voltage to mean the difference in electrical potential and suppose we can identify such a difference between two points or terminals A and B, in some part of an electrical circuit or arrangement.
Now for the history part. The term PD used to stand for Potential Drop, not Potential Difference, when I first learned it.
So we actually had three terms, EMF, and two confusingly with the same initials, PD. Both potential drop and EMF referred to an identifiable voltage as above.
So why were there two types of voltage identified?
Well imagine we isolate the section of circuit, a bit like a free body diagram in mechanics, and ask the question what happens?
1) If the voltage remains on the isolated section, without the rest of the circuit in place, the voltage is an EMF.
2) If the voltage disappears from the isolated section, ie is only present by virtue of the rest of the circuit then it is a potential drop (PD)
So, for instance,
1)Take a 9 volt battery away from a circuit and there is still 9 volts between the battery terminals.
2)Take a resistor with 9 volts across its ends, in circuit, away from a circuit and all voltage disappears.