What's emf? It's a force on a charge, be it magnetic chemical or electrostatic in origin..
What's current? Charge in motion.
back emf is kinda unavoidable. it comes from the same thing that makes the motor turn, namely the force on a charge that's moving in a magnetic field.
Charge traveling forward inside the conductor feels a force perpendicular to both the magnetic field and the direction of its motion. That mutual perpendicularity is called a "Vector Cross Product", though the name isn't really important. It pushes the charge sideways which makes the motor try to turn.
When the motor starts to turn, the wire itself now has motion relative to the magnetic field, and THAT motion creates another "vector cross product" which pushes the charge backward against its forward motion along the conductor. That opposes the applied voltage, trying to reverse current flow. So it's called 'back emf' or counter emf.
And it's really quite a nice thing , it makes motors and transformers practical.