Is it permissible to supplicate against a girl for failure and lack of success in actions she undertakes that are forbidden by Islamic law, and would such a supplication result in Allah not accepting my other prayers or in my incurring sin?

You do not sin by supplicating against the girl for not succeeding in the forbidden acts she performs, such as dancing and the like; because this supplication is legislated, as it diminishes evil and combats corruption. Islamic law prohibits corruption and abominations and commands staying away from them. Allah Almighty says: "Indeed, Allah enjoins justice, good conduct, and giving to relatives and forbids immorality, wickedness, and oppression. He admonishes you that perhaps you will be reminded." It is better to supplicate for her guidance.