Felicity is the past Luxury store owner, and the current Market store owner.

In-game description:

If your pet finds that they can't walk down the street without other pets exchanging knowing glances or snickering, the chances are Felicity might have something to do with it. Felicity is the town gossip, and she can't resist a juicy rumor -- indeed most of them can be traced back to her in the first place.
And yet the hottest rumor of the moment in the village is that Felicity herself has a secret crush on one of the other shopkeepers.Uncharacteristically for Pet Society's self titled "it girl", who she has a crush on is one secret she's actually been able to keep, but it's only be a matter of time before the queen of gossip finds her own secrets the talk of the town!