Thanks for your query.Based on the facts that you have posted it appears that you have developed Perineal Abscess
.Being in a stage of induration It is hard in consistency .
Please consult qualified General Surgeon
for clinical evaluation and to confirm the diagnosis.
As you have rightly said there are no lymph nodes in Perineum
Please take broad spectrum antibiotics along with anti inflammatory medicines like Diclofenac
twice daily .
Get the prescription of medicines from your family Physician.
If does not subside even after taking antibiotics you may need t get it incised and drained by a general surgeon under appropriate anaesthesia.