Peanut sized nonmoveable lump under skin on vulva. Sqeezed pimple like+pus blood came out day later still there +tender+bruised not visible with eye?

Cyst. could be Skene's gland or Bartholin's gland cyst that is infected. Please do not squeeze it anymore. Please see your doctor for proper evaluation and treatment. Dr R.
Congratulations! It sounds like you have "burst the pimple" and evacuated the pus. Now you will have to wait 5 to 7 days to see if the tender, bruised area will heal. If not, see a MD to evaluate.