Yes, Pinky is still #1 priority.
I would put the egg in nest bowl; with pine needles shavings or even paper towel; Give her about 5 minutes to see if she will except the nest bowl (it is a bit risky); If not just leave well enough alone; Get ready for the second egg to appear in 24 to 48 hrs.
Pigeons usually like two nesting spots if you could partition off your cage to keep Pinky out of nest #2 area (I think doves are the same)???