She certainly still holds major resentment towards her Dad. Honestly, I don't blame her BUT that should be kept offline and dealt with in private.
i totally get WHY she still has issues with her dad, but as you say, it's stuff she needs to work through in therapy - but she won't, because therapy for Louise is about seeking validation to help her find her "sparkle", it's not about working through her trauma etc, which is a shame when she is able to access private therapy as and when she likes, in a way so many people would truly appreciate and make use of. i get that she uses dark humour as a coping mechanism, and that's fine - but it isn't the same as actually addressing the trauma and working through the resentment she - understandly - feels towards her dad. there's always the option of family therapy too, where they could properly talk with the support of a therapist - but instead she uses dark humour as a plaster and doesn't actually allow the relationship with her father to heal which, if she wants him in her life, would surely be far more beneficial.
she seems to have such an odd relationship with her dad, which is why it confuses me why she feels such a connection with the Pentland name - to the point she needs it displayed in huge glittery letters in her kitchen
. I get her wanting to feel connected to her mum, but she clings so fiercely to the Pentland name, when in reality it connects her far more to her dad as it was her mother's married surname - and, presumably, also the surname of her abusive stepmum at one point.