Among my people, she is our one and only God, our creator, our teacher, our healer, our queen. Originally, we had various religious/cultural groups that had many names and depictions of Her. As such one of our most used epilates is She of a thousand names and faces. As our different groups interacted and formed one large religion, however, three central aspects became central, the Mother, the Queen, and the Holy Mystery.
The Mother - She who is our creator and nurturer. The same concept as the mother goddesses you can find on earth. Her symbol is either a tree or a piece of fruit with animals eating some (the fruit it's self is Her creative aspect and the animals eating the fruit is the nurturing aspect). These can also be combined.
The Queen - She who both creates and upholds Her laws. Sovereignty, ruling, or justice goddesses are probably the closest comparison. Her symbol is the Sun and the Moon on either side of a line (if combining this aspect with the Mother then they'll be on either side of the Mother's tree). Simpler symbols would be simply a sun and/or moon (if both they are often combined in some way).
Holy Mystery - She who cannot be seen or understood. Any goddess of the occult or sacred mysteries would be a good comparison. A couple common symbols are a dark veil (representing the hidden) or a starry sky (light in the darkness).
After this people tend to worship other aspects as needed, which we call Faces. Lady of the waters for fisherfolk or sailors or the Lady of the Harvest for farmers. As part of our training a priestess is expected to find four more faces that (along with the main three) form the center of our personal practice. For me these are:
The Dreamer - She who is our inspiration, our muse, and holds all potential in Her hand. She is the Lady who dreamed of Her creation and it was her love of it's beauty and longing to see it come to life that led Her to create (or so one of our creation myths state)
The Wanderer - The Lady of Fate and the Right Path. She who both guides us and walks with us. An unusual Face for a priestess but I was mostly a wandering healer after I finished training and then there are all the lives I've spent away from my home.
The Healer - She who brings healing and ease of pain.
The Lady of Duality and Balance - She who is what happens when the One becomes Two but also when the Two become One and yet Many. Dark and light, black and white, Life and Death all balanced but she's also the space between these (some say it's the only space She truly exists) so she's the dawn or dusk, the greys (and every other color), the moment where the soul is neither quite alive or dead. This aspect tends to be mostly focused on by mystics (which I wouldn't consider myself) and I've never been sure why this aspect called me.
While we do have names for Her we tend to use titles (and to be fair I'm as likely to call her my Lady as I am Danu). These names are not pronounceable by humans and we tend to not use them around outsiders anyway. And she wanted a name for me to use and chose Danu. I call her that because she requested it of me, I'm not entirely sure why either. With that said this statue of Danu does vaguely remind me of our most widespread icons of Her so I'm guessing this is why. Also Danu has the same number of syllables as Thea (a name I used to use for her), I could see Her picking it so I could change the name easily.
As far as Her personality goes: she is friendly and approachable overall but this can vary depending on which Face She is showing (ie the Mother is much more approachable than the Queen). We view Her as omnipotent but not omniscient (except maybe as the Lady of Mystery... that's actually one of our biggest religious debates), She learns and grows with Her children.
I, like the rest of my people do venerate other spirits (I am an animist after all) but, like mainstream Catholics, my worship is focused on My Lady Danu, Mother, Queen, Holy Mystery. If you have any more questions I'm willing to answer them here (anon is on).