We don't know the specificity of OP's life and relationship with her mom. There are instances where if someone says you can't go, you can't reasonably just say "F that person, I'm going anyway", even if you are an adult, even if it's your parent and not a boss.
If OP was to come back and find out mom did a cut direct and is left without a roof over her head and no prospect of finding a job I don't judge her for accepting she's not allowed to go by her mother, the one witholding all the power over her head.
Even if it's not that harsh.
If OP had made a post "My mom won't let me go and work in AK", it's most likely people even on this forum would say "It's her house, her rules - if you're not happy you move out. Oh, can't move out because you don't have a job? Too bad, you have to follow the rules". And the rule maker just said "you can't go".
So you don't go.
Simple as that, not the OP's fault, and maybe, just maybe, not something she has a fraction of a chance to change without having to face dire consequences.