Though for ypur work it’s not important if you see/feel/hear the angel, it’s the result that count.
To OP: I also second choosing Michael for cutting this cord. Or Raphael, since he is known for driving spirits out of people and binding them. You could also combine their powers and ask them to work together.
But since you mentioned you’re a newbie I’d recommend only calling one entity at a time.
Sometimes you barely notice their presence but then again they can be pretty overwhelming, too.