Will a girl be held accountable on the Day of Judgment for severing ties with her father who neither asks about her nor spends on her, and what is incumbent upon her to do?

The right of honoring one's parents does not lapse due to the parent's shortcomings in fulfilling their child's rights. Disobeying parents is one of the gravest sins. You should strive to supplicate for his guidance and to mend your relationship with him, seeking help from trustworthy relatives. If reconciliation is not achieved, you will have fulfilled your obligation.