I just tend to write short and to the point, but I'll try to elaborate...
Alright, first off.
This is not a paragraph. Can you elaborate with more detail?
The heads are supposed to be some of the most knowledgeable on the station, and though they may not be an expert in everything, they know more then enough to know the mechanics of the job in question. Assisting new players in learning their role, taking the lead when things go wrong and keeping assignments in order between those best fit to do them, which may be themselves.
Again, not a paragraph.
Head or not, a player is still a player and heads are subject to a higher standard then average. A head is a leader, and should play the part above personal interests. You should be encouraging over degrading others in the game. Likewise, such an assignment is a measure of trust, which can easily be reversed. What I seek to do is help shape the engineers to be more capable over time.
As for your bio, it's worth noting that due to lore changes (Biesel law), characters can only be employed by one (mega) corporation at once. You either work for NanoTrasen, or Aether Atmospherics (which you misspelled).
Additionally, your bio doesn't say all that much about your character other than "she has training" and "works well with other employees/synths". Again, can you go into greater detail?
Being a resident on Abdomai, Beth opinion of NT isn't entirely supportive. Despite this, she has been contracted out to the station, so she works for Aether directly. Beth is quite aware that most humans try to hold themselves higher then everyone else, but she does not entirely share this viewpoint. Everyone on station, regardless of job, is a tool to keep things running smoothly.
As for skill, Beth has been able to replace entire atmos systems and rebuild broken engines if needed. She knows all about the various properties of each of the gasses on the station, as well as all the ways to set up, manage, recover, and fix singulo, Supermatter, and various thermal engines.
As for other skills, she has learned basic first aid and chemistry in her free time. Beth is still far from a doctor and doesn't know complicated mixes you can do with chemistry, but generally its enough as long as someone isn't dying.
Again, this is quite short. More detail?
T'lir Enra. I once put in a whitelist for her, but never got much in the way of reply. Lorewise, the two are friends. I don't maintain many different characters these days, all of them just being some variant of Beth.
Once again, this is quite short. Can you elaborate on how they're not the best at dealing with AI?
With her focus on Atmos and Engines, Complex devices, robotics, AI, and electrical skill are rather low. Sure, she can build and fix the basic alarms, but generally not machines, borgs, computers, and tcomms. Beth can work with an AI, but she doesn't entirely see eye to eye with them.
This is short and not that informative. Having experience in both "sections" of engineering & scenarios isn't really enough for someone to be realistically promoted to a management position, nor is viewing everyone as equal.
I've done so on station several times before. Managing cascade engine failures, depressurization, and power issues, offering suggestions where I can, at times even ordering around the other engineers if there is no other person to keep things orderly. There is little about engineering which I don't know, and things I don't I learn quickly. Her balance of skill between atmosia, engines, and general knowledge of engineering is what I'm pressing here.
This doesn't really answer the question. The question is asking about IC roleplay, not your OOC personality.
Honestly, I don't hold opinions, and my characters are just extensions of that. As such, a LOT of my OOC flaws end up showing in all my characters. This includes being a heavy introvert. I don't judge or rate people, or say who is better then another, not even myself.
Now, my IC experiences with your character.
I have never gotten the impression you know what you're doing.
I barely trust you to do your job as an engineer, I have no faith in your ability to manage the department as a Chief.
Overall, -1.
Work on your application a bit and improve your performance and attitude in engineering.