Under the influence of alcohol, you pursued and cornered Meng Ying in the alley, injuring and killing her.
Upon sobering up, you finally felt fear and instructed your servants to dispose of Meng Ying's body.
But this was unachievable—at that time in the East Market, townspeople had surely seen Meng Ying getting into your carriage, and perhaps even saw your face.
Afterwards, when Meng Ying disappeared, her family would definitely search everywhere, tracing the clues back to you.
Therefore, the only solution was to frame someone else.
You had your maid and servants bring Nie Shilei from the East Market, a man known for his innate foolishness. The maid lured Nie Shilei into the alley, had intercourse with him, and afterwards knocked him out and smeared his semen on Meng Ying's clothes.