Every epithet that is related to her as a goddess and her domains has a (*) by it
Adrêsteia: (The) Inescapable, Unavoidable
Alkimos: Powerful, Strong, Stout, Brave
Antaia: Approachable, One that can be approached (in prayer)
Brimô: Angry/Angry-one, Terrifying, Terrible one
Genetyllis: Procreation, Goddess of Childbirth, Birth-helper
*Iakhê: Shout, Cry of Joy
Idaia: Of Mount Ida (Crete)
*Kedreatis: Of the cedar tree
*Keladeinê: Lady of clamours
*Khaírō: Full of cheer (calm and at ease), To be very glad
Kleinḗ: Famous, Renowned, Well-known. In place as Illustrious
Krátaia Mêtêr: Mighty Mother
*Lāïkā́: Folk song/Folk music
*Lāïkós: Of the people, From the people, For the people (any similar sentiment along what's already mentioned)
Liparokredemnos: Bright-coiffed
Lusizônê: Goddess who loosens the girdle, in the spirit of her helping lighten birth pangs
Megalê Thea/Megala Thea: Great Goddess
*Mḗkōn: Opium poppy (genus: papaver somniferum)
Mêtêr Idaia: Mother Goddess of Mount Ida
Mêtêr Theôn Idaia: Mother of the Gods from Mount Ida
Mêtêr Megalê: Great Mother
Mêtêr Oreiês: Mountain Mother (I know theoi.com only has this listed for Kybele but considering that Rheia is literally the goddess of mountains, this is a given and belongs here)
Mêtêr Pantôn: Mother of All
Mêtêr Theôn: Mother of the Gods
*Ópion: Poppy juice, Opium
Pánsophos/Pássophos: Very wise
*Patrôia: Of the fathers (Ancestral)
*Perikhaírō/Huperkhaírō: Rejoice exceedingly
*Poliatis: Keeper of the city
*Pôtnia Therôn: Queen/Mistress of beasts
*Promakhos: (the) Champion
*Pyrrhikhê: Contorted dance (usually used in honor of fallen soldiers that involved clashing shield and spear but in this sense connected to the leader of the Kouretes, Pyrrhikhos, her attendants, and the myth of Zeus hidden in the cave)
*Sidēreús: Worker in iron, Smith
*Sidēromḗtōr: Mother of iron
*Sidērophóros: Producing iron, bearing arms, bearing tools
*Sidērophuḗs: Of iron nature
*Terpsímbrotos: Gladdening the heart of man