Is my proposing to an unveiled girl, while adhering to Sharia guidelines such as not being alone with her and limiting communication to online chats, then considering going out with her, considered a violation of what Sharia mandates? And how did the Companions and the Righteous Predecessors marry, given their strict adherence to avoiding Sharia impediments?

The relatives' talk that religion does not keep pace with the times is false, for Allah's law will endure until the Day of Judgment, and humanity's happiness lies in adhering to it, while their misery stems from violating it. One must hold fast to religion and not compromise the Sharia to please anyone. Advise the fiancée regarding her hijab; if she straightens up, then good, otherwise, look for another righteous woman. And whoever holds fast to their religion and trusts in their Lord, Allah will suffice them concerning their worries.