A detective allowed for nearly a year with full pay including overtime to care for her cancer-stricken mother could face a huge fine and forced retirement when her NYPD disciplinary trial starts Wednesday at police headquarters.

Detective Jaenice Smith, 51, claims Assistant Chief Scott Henderson, then the commander of Brooklyn North, approved the unusual arrangement since her mom, Barbara Ann Smith, was a prominent community leader in Bushwick who served 28 years on the NYPD’s 84th Precinct Community Council.

The NYPD, however, alleges Smith did not have approval and has accused her of “time abuse,” falsifying documents and official misconduct, according to department records and Smith.

The department has sought to force her to repay up to $149,000 in salary.

“This wasn’t about m

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