First of all do not lose your cool! The egg can only travel so far and will not go past the cervix.
Relax, trust the process and use this as an opportunity to know your body and allow the crystal to do the healing work. It is a perfect time to meditate, listen to your thought and emotions, journal.
To help expel the egg add lubrication, like coconut oil or your lubricant of choice. Breathe deeply and relax. Squat or sit on the toilet, but be ready to catch the egg if you are not wearing the underwear the will hold it. You can help hook it with your clean finger. Be gentle, do not push hard and avoid creating any uncomfortable sensations.
Vaginal muscles tend to tense unconsciously from stress, so if you are relaxed it will help the egg to come out quickly. Keep in mind that it will not hurt you if the egg stays inside for 24 hours, some couples even safely use it during the intercourse to increase pleasure for both partners.
Keep practicing and soon you will learn to expel the egg by command!
If you do not feel comfortable with the undrilled egg and would like to be able to take it out by command, you might purchase the egg that has holes you can put a string through. Drilled eggs might be used without the string as well.
Never use the egg in the rectum – unlike vagina, it the egg may get stuck there and then you are in trouble.