My daughter diagnosed Complex Ovarian Cyst with septation and debris. 4.3 cyst. Pain and fear. Do these cyst normslly require surgery?

No. Most of the time in young women these cysts are functional/hemorrhagic cysts and resolve by themselves. If they keep enlarging, or become more symptomatic, surgery may be indicated. If there are imaging features suggestive of tumor rather than just hemorrhagic cyst surgery might also be indicated.