If you get involved with her, there is a good chance you'll ruin her life and it'll have a negative effect on yours.
Accept the fact you find her hot and move on - try and find a more obtainable girlfriend.
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It's important to maintain appropriate boundaries with your teacher. Focus on your studies and classroom interactions without getting distracted by personal feelings. If you have any concerns or feelings you want to discuss, consider talking to a counselor or trusted adult for guidance.