Tiggy's sick

Dear Tiggy got up this morning feeling very very cold. The poor little dear had a sore throat and felt horribly warm to the touch. So, being a good mom, I gave her some liquid tylenol and looked diligently to find a thermometer. I finally found the 15 year old thermometer in the bathroom cabinet. After a thorough cleaning, I took her temp. 97.2. F
Well, that was wrong.
So I made her keep it in her mouth. Remember the days when I told you that it took 30 minutes for a thermometer to get an accurate reading? After 15 minutes or so, she was only registering 99F
Obviously, I needed a new tactic. But, what else could be used to get an accurate temperature reading in the 90-110 degree Fahrenheit range? We have a meat thermometer! But, where to stab it? Dear little Tiggy didn't like my suggestions, so we compromised and took her elbow pit temp. It was 100.3F
Now, I have a new problem. What is the conversion between elbow pit and body core temperatures? And, how to I tell the doctor that her temperature is below rare but above shellfish?