The Danfoss BD35 / BD50F compressor / controller may sink up to 10mA on the D connector terminal.
As an example, this red LED has 2.1V of forward voltage drop. That ~2V is typical for these leaded red LED devices.
https://www.cree.com/led-components/media/documents/C503B-RAS-RAN-AAS-AAN-RBS-RBN-ABS-ABN-RCS-RCN-ACS-ACN-1079.pdf
Assume that the DC voltage supplying the refrigerator is 14V. So, 14V-2.1V = 11.9V. Ohms law says V=I * R, so the resistor R = V / I. Assume 5mA of current. R = 11.9V / 0.005A = 2,280 Ohms, consuming about 60mW, so any ¼W resistor would be fine. Any resistor in this range would be fine, doesn't need to be exactly this value, plenty of margin / range for this resistor.
