If you are trying to take your goat's temperature with a thermometer in the goat's mouth you are at the wrong end of the goat. Turn around and face the rectum.
Taking a goat's temperature with a rectal thermometer is the correct instrument. For the purposes of the farm and with a goat as the patient, the only difference between a rectal thermometer and a regular thermometer is where you place it to take the reading.
Normal temperature for a goat is 102 to 103 degrees F. If your goat has a temperature, there may be an infection.