John
I would rerecord your voice with the refrigerator off. If that can't be done try any number of noise reduction plugins on the market. Also a gate may prove useful.
I like soundsoap. Sound Forge has a suite of noise reduction tools. Izotope has RX a very good noise reduction app.
+1 on John's comment, I turn my frig off and even if it's twenty below, I'll turn the furnace off (keeping the wood stove on), etc
++1 on Soundsoap, I use it primarily on podcasts with wind and bad recording, etc. but it has regular upgrades and is becoming quite a powerful and easy to use tool!