Not to easy to explain, but curly hairs is a start... :laugh:
In simple terms (cause I don't know the fancy ones), when you open the exuvium and look on the inside (like in your picture), you first get the "line" that runs between the frontal book lungs (those white paper like stuff). In the middle of the two book lungs, on that line, you might see a translucent flap of skin. In some cases it might be Brownish or Amber colored. This already shows it's a female, I think it's called the Uterus exturnus. If you lift that flap, you should see a structure or structures that are also darkish in color in more mature spiders. These are the spermathecae. Males have VERY tiny structures, the male accessory organs, but are a lot smaller than spermathecae, sometimes almost invisible to the naked eye (or mine at least).
Take that wet skin, stretch it wide open and take another close up pic of the area I circled with your awesome camera (not cell phone) and post again.