The Light Blues were grateful to second half contributions from Rio Hardy and Katie Wilkinson, with the latter curling home a sumptuous free-kick certainly fitting of the occasion.
Hibernian now await in the final for Rangers later this year, and head coach Potter says she’s delighted her players will have the chance to defend the trophy which they have lifted on the last two occasions.
Speaking to RangersTV after the victory, Potter commented: “I’m extremely proud.
“We came out in the second half and looked to put them on the back foot. We scored a lovely early goal then another moment of brilliance after that to go 2-0 up.
“I thought our game management after that was excellent because we were up against it.
“The players were excellent even after I got sent to the stands and they reacted after that.
“We need to stick to it, but we’ve got to turn up in other games and use it as well.
“It’s a learning moment for us, but we need to enjoy this.
“It’s a big win in a semi-final. It’s our cup and we wanted to be in the final to hopefully retain our cup.”
The two goals arrived just moments after the half-time interval for Rangers as Wilkinson’s free-kick followed a neat close-range finish from Hardy.
Defensively, too, the Light Blues stood up to the task, with Emma Lawton’s stoppage time strike for Celtic rendered little more than a consolation.
Potter says her players carried out the half-time message to a tee.
She added: “We were getting moments right, but we just needed more quality.
“We spoke about the corner in which the goal came from and Brogan [Hay] absolutely listened to what we had to say.
“It was two very different goals and two set-pieces.
“We worked extremely hard in certain moments to create the corners; the hold-up play that they both showed in the first half.
“I thought you could see the problems Mia caused them with her ability to beat a midfielder; you could see she was a real handful.
“I was pleased with our overall performance because I thought our defenders stood up to the task as well and they won their one-versus-one battles.
“We were well-deserved winners.”