Srimad-Bhagavatam: Canto 4 - Chapter 1 - Verse 20


व्यक्तं त्वमुत्कृष्टगते: प्रजापते:प्रियात्मजानामसि सुभ्रु मे मता ।तथापि मानं न पितु: प्रपत्स्यसेमदाश्रयात्क: परितप्यते यत: ॥ २० ॥


vyaktaṁ tvam utkṛṣṭa-gateḥ prajāpateḥpriyātmajānām asi subhru me matātathāpi mānaṁ na pituḥ prapatsyasemad-āśrayāt kaḥ paritapyate yataḥ


My dear white-complexioned wife, it is clear that of the many daughters of Dakṣa you are the pet, yet you will not be honored at his house because of your being my wife. Rather, you will be sorry that you are connected with me.


Lord Śiva put forward the argument that even if Satī proposed to go alone, without her husband, still she would not be received well because she was his wife. There was every chance of a catastrophe, even if she wanted to go alone. Therefore Lord Śiva indirectly requested her not to go to her father’s house.