It appears the website is being odd about alignment of some things again. Or maybe not odd if we knew deeper details since nothing guarantees alignment of some things, but... I'm getting distracted there.
That said, nah, I'm Unovan, but my family ancestry is from the north kinda central (more western) part of the Old World. Immigrated a couple generations ago. My last name isn't Galarian. If you used the writing system of my family's ethnicity (well, one of them, using the one my last name is from) it'd be Астра Циолковский.
Anyways... yeah, federal republic, but mood at being pissed at the government. It's got a lot of problems, but... yeah. It's late, so me getting into political theory as well as gender terminology is probably too much for me at the moment, since it's late and I'm dealing with a lot of brain fog/mental fatigue at the moment from some activities last week.
In any case, we're going to get into gender politics here. Apologies if it gets a bit garbled due to previously mentioned fatigue. The basic premise of gender dynamic and social analysis is the observation that gender is ultimately a social construct in the same way codes of manners are, and that society has assigned, and violently enforces, roles, expectations, and effectively a social class based on primary sexual characteristics at birth. This is the basis that all further analysis and definitions going forward in my explanation hinges on.
Note that I said gender has been assigned and violently enforced by society. This means you might not agree with your assignment. Which brings us to the terms cis and trans.
Cis and trans are terms that are derived from chemistry nomenclature designating if the functional groups of a chemical are on the same side of the molecule (cis) or are on different sides of the molecule (trans). By analogy this was used to describe if what you personally felt fit you best was broadly what society assigned you at birth (cis) or if you disagree with that assignment (trans).
And once again, I have to note that this is forcibly and violently assigned and enforced by society. Which means social forces are such that you face oppression and punishment for disagreeing with said assignment.
That being said, as an example, a cis woman would be someone society deemed a woman at birth and said individual broadly agreed with that assignment. A trans woman would be someone who was NOT deemed a woman at birth but felt that they resonate with the concept of womanhood strongly enough for that to be a core/major component of their self conception. Similar applies for the male equivalents.
Non-binary is similar, but you feel that the classes of man and woman as they exist in the western gender binary correctly describe you.
TMA and TME is a little bit more complex. TMA, short for transmisogyny applied, describes someone who is subjected to the combination the two major modes of sexism in modern society and is unable to leverage their socially assigned categories to exempt themselves of at least one of the two modes: male superiority (sometimes called traditional misogyny/sexism) and oppositional sexism. Oppositional sexism is the belief that male and female are inherently opposite with no overlap worth noting. Implicitly oppositional sexism posits that gender assignments are contingent on physical traits such as primary sexual characteristics, as otherwise there could be potential overlap. From these it follows that TME, transmisogyny exempt, is someone who CAN leverage at least one of their socially assigned categories to exempt themselves from at least one of the two modes of sexism. The classic ways of doing this is asserting that you are a man and/or asserting that you are cis and thus not calling into question one of the core consequences of the belief that there is no overlap between genders.
Of note is that this analysis framework also is based off prior work, specifically from black individuals, regarding racial oppression and how that can combine with misogyny in a manner greater than the sum of its parts and/or in unique combinations.
Gender fluid is much more simple. Individuals who identify as this feel that their gender identity is, well, fluid, and consider that fluidity to be an important aspect of their identity.
Agender is also fairly simple comparatively. You don't feel that any gender is proper for yourself.
Apologies for the ramble and delay, it took a bit to write this out. Hopefully that helps clear things up at least a bit.