showing signs of psychosis is part of many mental disorders including those you mentioned in your post - depression, personality disorders, being autistic, anxious.

psychosis is not just about having hallucinations. but I notice in your post you stated -

"The closest thing to hallucinations I have are that I sometimes misidentify objects in my peripheral as people or other living things as bugs, but when I go to look at them I can quickly see its just a vaguely person- or bug-shaped object. I also tend to have waking dreams if I get woken up during certain phases of my sleep cycle, but those stop after I've fully woken up."

yes those things now qualify as actually having hallucinations. if you at any point stated this to the therapist or your files stated this about you then yes the moment you lost eye contact and appeared to look disconnected as if seeing something that wasnt really there about objects around you, thats why she diagnosed you with showing psychosis.

psychosis isnt just having a major hallucination or major delusion. its also things like misidentifying real people and objects for things they cant possibly be.

this can happen with just about every mental disorder out there. even what she diagnosed you with - depression. thats why psychosis is now a "specifier" with most mental disorders. the diagnosing treatment provider must state whether or not they have noticed things like blank staring, misidentifying objects and people around them, speech and language problems and more.

my suggestion is not to worry about what your problems are called, instead focus on what the treatment plans are and in time either the problems will clear up or be diagnosed as something different.