Evaluation of Physical Function and Quality of Life (QOL) Before and After Non-Radical Surgical Therapy (Extra Fascial Hysterectomy or Cone Biopsy With Pelvic Lymphadenectomy) for Stage IA1 (LVSI+) and IA2-IB1 (≤ 2CM) Cervical Cancer

• Patient must consent for the appropriate surgery

• Patients with a histologic diagnosis of squamous cell carcinoma, adenocarcinoma, or adenosquamous cell carcinoma of the cervix, stage IA1 (lymph-vascular space invasion \[LVSI\]+), IA2, and IB1 (tumor size \[maximum visible or palpable\]) =\< 2 cm), any grade

• All patients must have undergone a cone biopsy or loop electrosurgical excision procedure (LEEP); depth of invasion must be =\< 10 mm

• Patients must have no evidence of metastasis on positron emission tomography (PET) scan or magnetic resonance imaging (MRI) or computed tomography (CT) scan of the pelvis and chest imaging

• Patients who have met the pre-entry requirements

• Patients must have signed an approved informed consent and authorization permitting release of personal health information

• Patient must have Gynecologic Oncology Group (GOG) performance status of 0, 1, or 2