Moreover, without the Han family knowing, Lu Qiyuan might very likely use Han family's name for his personal gains.
Nevermind, if he would create trouble for the Han family, with Lu Qiyuan's immoral and terrible character, who knew when he would be harmed or taken advantage of by others, and if he had used Han family's name, the Han family would be implicated too.
With Lu Qiyuan's shamelessness, even if Lu Man didn't reach out to him, it wouldn't be easy for her to get rid of all relations with him.
No contact with him? Getting rid of all relations?
He would not even mind it, he was that shameless!
He knew Lu Man's concerns.
He wasn't afraid of Lu Qiyuan troubling him, but he really wanted to cherish Lu Man's thoughtfulness.