Congratulations on your new harp!
You might try bandaging your sore finger with a flexible fabric adhesive bandage, trimmed very close to your finger so that no edges catch the strings. I tear out the center pad. You can try wrapping it around your finger, but I like to wrap it over my finger, being sure I can still flex my joint.
It’ll sound really different and be more slippery, but will save your finger from more friction and hopefully heal some before you have to perform.