What does the playwright do in order to present Cleopatra as a great character?

In my opinion, the playwright, in order to present Cleopatra as a great character, never really presents her.
This can be found in Enobarbus description of her meeting with Antonio.
In the first part he describes Cleopatra’s barge and her clothing and serves.
In this part, the audience can picture Cleopatra as Venus, the goddess of love and beauty. Cleopatra is, indeed, compared to her by Enobarbus, who tells that “she did lie / in her pavilion—cloth-of-gold, of tissue— / o’erpicturing that Venus where we see / the fancy outwork nature”.
Venus’ representations are inferior to her, since in them “the fancy outwork nature”, so Cleopatra is more beautiful since she is fancy, but she’s real, not an idealization as Venus.
So, the audience can associate her to Venus characteristics, such as beauty, fertility and sensuality.
This idea is also conveyed by her surroundings. Everything that surrounds her seems to be in love or fascinated by the scene; for example the winds are “lovesick” with the perfume of the sails and water seems “amorous” of the oars’ stroke. Also, on her sides there are boys who look like smiling cupids, who are often represented on Venus’ company and personify love.
On the second part of the monologue, Enobarbus describes Cleopatra’s “gentlewomen”, who seem Nereides and mermaids. Cleopatra indirectly gains their beauty, making them become “adornings” and becoming herself a mermaid.
As we’ve seen, the monologue only describes Cleopatra’s surroundings, in particular, the playwright uses terms that appeal to senses, fascinating the reader, underlining particularly the scene’s perfume.
In this way, her presentation isn’t clear, but the audience can still imagine Cleopatra, connecting her surroundings to her character.
This doesn’t define her personality or her physical aspect, making her mysterious and fascinating and making the audience interested to her, since her characterization in the play is developed mostly by her descriptions made by the other characters.
In conclusion, Cleopatra is a great character since the audience can’t understand her. Even if Enobarbus makes a very long monologue about Cleopatra, he never tells something about her directly. So the audience is fascinated by her and wants to know more about her, but it can’t.