I hope for her own sake that Lin Luxi's mom can begin to accept her daughter's sexuality and independence.
She's clearly reeling from being confronted with the contradictions between her views of filial piety and family control vs. her daughter's new capability to resist them. Before, she was unwilling to reconcile her own prejudices with Lin Luxi's sexuality and had all the power to not do so. Now, she has the same prejudices, but has unexpectedly lost her power—she failed to force her will upon Lin Luxi, and will now have to answer to her (or at least negotiate) if she wants them to continue having a relationship.
It seems like the both want a relationship, and I can't imagine the mom will cope very well without Lin Luxi since she's structured her whole life up till now around her daughter. My childhood experiences with my mom were rocky to say the least and while my parents have all been very supportive of my queerness, I feel like I can relate to the situation a lot.
It's very reasonable to draw a line across which you don't feel obligated to consider someone else at the expense of yourself (socially, mentally, materially), but I think people can lose some nuance with antagonistic characters. Obviously stories can overplay this with "tragic villain backstories." There's always nuance—the nuance doesn't always matter. Here though, it's family, it's her mom that she still loves and cares about. Cutting all contact is an option, but it's a simple solution to a complex problem.
Is it worth Lin Luxi's effort to keep some contact in the hopes that her mom comes to accept her, however begrudgingly? I'm excited to find out as the series continues :]