Maya Makinami

Maya was (and still is) a normal teenage girl. After the death of her parents and her traumatic relationship with Sensei Prime, she attempted to kill herself only to be resurrected within the fictional world of Kumon-mi. She has now been forcibly made into a servant of the system to watch and judge an endless series of copies of the man she once loved perform wildly immoral acts to all of her friends. Although inside the system she is named Maya Makinami, the original "Maya Prime" had a name most likely beginning with the letter "T".

Dead Or Alive
The game repeatedly refers to Maya (and/or 61) as having died long ago or having been resurrected. This may be metaphorical, however, since inside the Room With Clocks we hear a constant heart rate monitor that would seem to indicate that at least to some extent the original Maya was still alive. The claims of her having died may have been meant metaphorically; if the original Maya fell into a coma after the suicide attempt, she may have been dead from Sensei Prime's perspective and he made it his life goal to "resurrect" her, aka wake her mind from her brain dead state. However, since we know next to nothing about the actual physical manner that the Upside Down House operates, it's possible that Maya did in fact die but she was somehow scanned into the new system, either via some sort of brain scan of her dead body or built anew from Sensei's own memories. In this case it's possible that the Maya we see in the simulation is fundamentally different on a personality level than the original despite retaining many of the same memories.

This would also mean that the heart rate monitor noises are either themselves metaphorical, perhaps signifying the fact that Maya is close to her breaking point or that the Wire God and the system as a whole are close to dying. Alternatively the monitor may simply be meant for Sensei and not Maya (implying that Sensei Prime's body is still alive in the outside world).

"Location" Within The System
Maya appears to be present within Terminal 23 the same way that all of the other girls are, however due to the personal relationship between Sensei Prime and Maya it seems unlikely that he would have relegated her to one random world within the overall system and left the rest to be judged by other individuals. This may mean that there is a copy of Maya in every terminal doing the same job as she has in Terminal 23, it may mean that the version of Maya seen in 23 is actually omnipresent in all terminals, or it may mean that the other terminals are fundamentally different than the one current Sensei occupies and don't require a "Maya" to judge Sensei.

In Trinity I, Maya brings Sensei to a tree clearly meant to represent the system, complete with three spotlights meant to symbolize the three gods that created and manage it. In addition there is a stray cat standing nearby which Maya then goes to pet. Given Maya's symbolic connection as a stray cat herself, this may indicate that she is outside of any given terminal the same way that the gods are. The exact implications of this are unknown.

Relationship to 61
There is strong implications that while the Maya on the "surface" of Kumon-mi is the original but worn down and numbed by hundreds or thousands of cycles of resets and new Senseis, 61 possesses Maya's "true" feelings. This does however have meaningful implications given 61's connections to Nozomu and her seeming torture/exorcisms at the hands of HOPE. It's possible that 61 was locked away and is being kept under control by HOPE for the explicit purpose of keeping Maya from straying from her role with judging Sensei and resetting the world. If 61 were to "return to" Maya and compel her to fall for her more base desires, it would compromise her objectivity and the entire system as a consequence.