This is a case where more is better. The more peels you do, the better the results. It certainly takes a series of gylcolic acid peels to see initial results, as gylcolic acid is considered part of the group of light peeling agents. Glycolic acid is an α-hydroxy acid, a...
We are not big proponents of peels for the pigment you describe.
For pigment caused by sun damage, we would suggest q-stitched lasers. For Melasma (pregnancy mask) we would suggest hydroquinone bleaching programs. Both of these programs will work better than chemical peels.
Im sorry to hear this happened. Everyones skin reacts different to peels. Did the practitioner go over your skincare regime prior to peel? For the pigmentation that happened post peel, using a Hydroquinone can help. Continue to use a daily SPF50.