Various Forms of Mother Tara:
The mother Tara herself has emanated in many different Sambhogkaya and Nirmanakaya forms. The mother emanating as Nirmanakaya Tara, is one of the main deities who deals with us confused and distracted beings, and who can bring us back to the original state. Thus she is named the mother of both samsara and nirvana. Because her nature is ultimately nondual, Tara's emanations are confined by no boundaries. They go beyond limitations which are geography, tradition, custom, and intellectual or social systems. All of these are dualistic conception created by people's mind in relative truth, while Tara resides beyond all such conception.
She emanates as needed in her various forms, reaching out to every living sentient being everywhere. Her purpose is to help all living beings. Thus she aids every type of being, including animals and the beings of other realms, whether or not we can see them.
For human beings, Tara emanates in a human form like ours- two arms, two legs, two eyes and so her features are familiar. Her traditional costume and adornment, as we see it in thangkas. It is very similar to what human beings of the ruling classes wore in an ancient India. She emanated this way in order to make it easier for human beings to connect with her and bring them towards Enlightenment. It is also mentioned that her "Hook of Compassion" is always ready, as we must have our mind and heart in the state of readiness, which here is the "Ring of Devotion".
Her sambhogkaya emanations include Vajravarahi, Vajra yogini, the five mother Dhyanni Buddha and the five wisdom dakini.
Similarly in India, Tara's popular emanations include wisdom Dakini Mandarva and Niguma while in Tibet is Dakini Yeshe Tsogyal. Practice of Green Tara, White Tara, Red Tara, Yeshe Tsogyal can help us remove fears, obscurations and hindrances, and also help us develop the ability to benefit all the sentient beings.
Tara and the Wisdom Dakini:
As the embodiment of enlightened energy, Tara and the Wisdom Dakini are not separable. The Tibetan terms referenced to Dakas and Dakinis are Khandro and Khandroma. The literal translation of Dakini is "Sky-goer" or "Sky-walker". Here, the Sky is wisdom and "Goer" is referred to love and compassion. These are the dakini's beneficial activities. An elaborated meaning of Dakini is hence, "the activity of love and compassion, full of strength, moving freely in the wisdom space"
Among the various forms of dakini, there are wisdom dakini, action dakini, earthly dakini and so on. When described, dakini are portryed as young, beautiful, dancing. But some dakini such as Singhamukha (Lion-headed dakini), Troma Nagmo have wrathful appearances. Wisdom Dakini Mandarva and Yeshe Tsogyal both are Guru Rinpoche's disciples and the great teachers.
Source: Tara's Enlightened Activity, by Khenchen Palden Sherab and Khenpo Tsewang Dongyal