Indentation from Mole Shave Excision on Face. What Can I Do to Fix It? (photo)

Since it has only been 2 weeks from the procedure, I would encourage you to wait longer for the area to fully heal.  If the area is still indented, then other options including complete surgical excision and laser can be discussed.

The biopsy site looks to be healing well based on your photo. Two weeks is still very early in the healing process and the area should flatten out more over time.  The edges are still inflamed and when this resolves the scar should become smoother.  I have used my Fraxel laser (non ablative resurfacing) on scars at 2 weeks with very nice results.  The scars smooth out and blend nicely with this treatment.  I would recommend good wound care and Fraxel laser treatment now. If a depressed area still remains I would consider filler in the future. Enjoy the wedding!  

several weeks to heal then you can consider something called subcision and injection of a filler...and then there's surgical removal of the area either with a punch biopsy or a regular excision and sutures...even though you don't want it cut out...that may be the best option if the doctor doesn't think the first option will work...both are quick, simple and in-offce...so with the 2 month deadline and the two more weeks to heal time to see your doctor and make plans...

I do not recommend shave biopsy for moles. This is for many reasons. I am not sure why you have an indented scar, could be due to deep cautery. To correct I would excise, thus convert  to a line of a scar and then treat with laser resurfacing to try to smooth as much as possible