Chemistry dispensing system for a laundry appliance having removable chemistry cartridges

A cartridge for a laundry appliance, the cartridge comprising:

• an outer housing having an interior chamber separated into a pumping portion and a chemistry portion, wherein the outer housing includes a drive aperture defined within a drive wall and a dispensing outlet defined within an oblique section of the outer housing;
• and
• a chemistry module selectively enclosed within the interior chamber to define a pumping state, the chemistry module comprising:
• a flexible container that is positioned within the chemistry portion in the pumping state;
• and
• a pump housing positioned within the pumping portion in the pumping state, the pump housing including an internal peristaltic pump and a rotational drive that are operable to deliver a chemistry from the flexible container to an outlet port defined within the pump housing, wherein,
• the rotational drive of the pump housing aligns with the drive aperture in the pumping state and the outlet port of the pump housing aligns with the dispensing outlet to further define the pumping state;
• the outer housing includes first and second portions that enclose the interior chamber in an enclosed position;
• and
• the first and second portions in the enclosed position bias the pump housing into the pumping state.