The female figure in the logo is a mermaid or siren.
The original Starbucks logo:
In Greek mythology, the Sirens (Greek singular: Σειρήν Seirēn; Greek plural: Σειρῆνες Seirēnes) were dangerous and beautiful creatures, portrayed as femme fatales who lured nearby sailors with their enchanting music and voices to shipwreck on the rocky coast of their island. source
The lore of the siren is sexual and sensual. The depiction of the mermaid's tail above is a not so subtle reference to exaggerated female genitalia.
The siren is just like Calvary Chapel and most churches today.
They lure you in with their enchanting music and before you know it you find yourself dashed on the rocks of their false teaching.
In describing how that the logo was selected Starbucks sounds like they are describing the Ecumenical movement on their website:
There was something about her – a seductive mystery mixed with a nautical theme...
She means something different to every one who sees her, who knows her.
And as always, she is urging all of us forward to the next thing. After all, who can resist her? source
The Mystery Babylon is seductive. She means something different to everyone. Her religion can mean whatever you want it to mean because it is ecumenical and tolerant. She is pushing forward to the Apocalypse and many of you will not be able to resist her.