Hi loveforgod and welcome to the forum.
I am assuming you came from a non christian background where a head covering was a sign of obedience and respect ?
And yes To answer your question....... a head covering of some sort..... like a napkin, handkerchief or a hat needs to cover a JW baptized sister's head IF she is asked to give a prayer usually at the dinner table and there is a baptized male present who does not want or can not speak. After the prayer the covering is removed.
I still have a fond memory of my elegant mother putting a napkin on her head to give the prayer.
As we are mostly ex JW's and most of us are doubtful that a god even exists we tend to be on the side of civil rights, freedom of speech, women's rights and protection for children.
We also have Christian believers who have left the Jehovah Witness religion but still have a need for faith in their life. Some attend many of the more open Churches where fellowship and activities are the order of the day.
Do remember that the appeal of a forum like this is that everyone is encouraged to speak their mind on any subject. Most on this site have fought tooth and nail to quit the Jehovah's Witness religion.
And there are many good reasons for that.
The JW Pedophile problem has turned out to be a disaster for the JW's just as it has been for the Catholic Church.
The insistence that an old Jewish rule called for 'two witnesses' to confirm a dispute or a serious crime has prevented many families from removing the pedophile from the congregation.
A Jehovah's Witness believes that their paradise earth will be built over the bones of billions of innocent people who did not become Jehovah's Witnesses.
Please start looking into things. A good and honest web site is jwfacts.com which uses only the Watchtower's own claims.
Edited to add: Just read your response and feel that you are more then capable to reach your own point of view.
Since the head covering is important to you, if it resembles any other religion's head covering you will be discouraged from having any participation within the congregation.
It is similar with men having beards.......... they are discouraged from looking 'different'.
This religion holds to it's core 19th century roots and the nonsense they presented in the early 20th century.
It's a dangerous religion on a number of issues. Lets say a JW has a child who falls sick or gets into an accident and is seriously hurt. This as we know can happen.
So you are told by the Doctors that your child needs a blood transfusion immediately.
But a JW is forbidden blood transfusions....... you can not be stopped from giving permission but if you do you will shunned for the rest of your life.
The organization expects you to obey them and sacrifice your child.
Look up Blood Transfusion's in jw.com