I have small bumps on the back of my tongue and are not painful. i am getting through a cold. could this be related? maybe an allergic reaction?

Could be: It can be related to a cold, or it may be the normal large bumps that can occur and you just noticed. There can be some other causes so you may want to see your doctor.

White? red? : Could be inflamed taste buds from an allergic reaction. If not gone by time cold is gone, or they grow bigger, see a dentist to make sure not something more serious.

Not related: Those small, non tender bumps on the back of your tongue and getting through a cold are not related. An allergic reaction is often referred to skin rashes or hive-like rashes that may or may not associate with tongue swelling, throat closing, nausea or vomiting. Typical example is food allergies like peanut allergy. Allergies is often referred to allergic rhino sinusitis which can mimic a cold.