Not much. You can ask for a continuance of a hearing if the goal is to obtain legal representation. Otherwise, the court will permit things to move along and you'll have to keep up.
Not sure why you want to delay things, anyway. Once a woman files for divorce, the marriage is over. Women tend to leave a relationship emotionally, long before they leave it physically. So if your spouse has filed for divorce, it probably means she decided to do it over a year prior to filing.
That's my personal experience.
The court cannot consider your theological convictions, except as they may bear upon your desires in raisng children. You are entitled to believe whatever you wish, but the law requires absolute neutrality concerning religion, and it accomplishes this by refusing to entertain any discussion of religious matters in court.
So, you need to get it into your head that you will have to put your religion aside so that you can deal with the reality that your marriage is ending and you must protect your legal rights or lose them to your spouse -- who is now your opponent.
You can request a continuance of a hearing. You can also initiate discovery. You can request a custody evaluation for the kids and a vocational evaluation if your spouse is employable but hasn't worked during the marriage, or a forensic accounting if there are lots of commingled assets and separate property to account for. All of which will delay the trial and judgment.
However, all of the above is expensive and complicated if you don't have an attorney. In as much as you have stated that you can't afford an attorney, it will be very difficult for you to do any of the things I suggest (except for the continuance, which is only possible based on your facts, so as to permit you time to get an attorney).
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