Wa `alaykum As-Salamu waRahmatullahi wa Barakatuh.
In the Name of Allah, Most Gracious, Most Merciful.
All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.
Dear questioner, we would like to thank you for the great confidence you place in us, and we implore Allah Almighty to help us serve His cause and render our work for His Sake.
Answering your question, Dr. Salah Al-Sawy, Secretary-General of the Assembly of Muslim Jurists in America (AMJA), states:
There is no harm on the woman piercing her ear to hang an earring in it. As for that being one hole (i.e. piercing) or two, this is a matter of social norms, and so it changes with the customs and tastes of the environment. The default is that she can do what is customarily accepted in her culture and is not to mimic the unchaste women that sway in every direction with regard to these matters.
Allah Almighty knows best.