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I understand this ;( Atleast we aren't stuck with this and our appeareance will change some time in the future again.
There's algorithms that can determine outcomes based on "seeds". Seeds usually being a chain of numbers and/or letters. A seed running through Minecraft's algorithm for example can determine the layout of the entire world. Different seed, different world. Same seed, same world.
Usually seeds are created randomly and silently in the background when you hit a "create world" button for example, but in this case Rust uses your unique SteamID as a seed for character creation.
How exactly seeds generate characters or worlds usually differs between algorithms. I think one of the more common techniques is to first convert any letters into numbers, then for example adding the first (7) and last number of the string (2) and grabbing "skin color #9" from a catalog. You can generate a lot of different outcomes by adding/multiplying/subtracting/dividing various numbers in the seed, or you can make "coinflips" (like for gender) by checking whether a certain number is even or uneven.