Pain in the left lower quadrant can have several causes:
Abdominal abscess
Abscess of the psoas muscle on the left
Left kidney stones
Calculus of the left ureter
Left colon cancer
Left ovarian cyst
Cystitis
Ischemic colitis
Ulcerative colitis
Sigmoid diverticulitis
Ovulatory pain (Mittelschmerz)
Abdominal wall hematoma
Endometriosis
Left epididymo-orchitis
Left incarcerated or bullshit inguinal hernia
Ectopic pregnancy
Mesenteric lymphadenitis
Crohn’s disease
Inflammatory bowel disease
Pelvic inflammatory disease
Left nephrolithiasis
Bowel obstruction
Pathology of the left hip
Left pyelonephritis
Ruptured ectopic pregnancy
Ruptured aortic aneurysm
Salpingitis
Irritable bowel syndrome
Constipation
Torsion of the left testicle
Left ovarian cyst torsion
Seminal vesiculitis