Well, if it makes you feel any better, and it probably won't, it's a total mystery to me too.
Looking at the exploded diagram of your dryer it appears the door is held with just a typical dryer door latch, and it should pull out easily. I can only surmise that the clip on the door has become entangled with catch, and this is a GE dryer style that I am not familiar with so I do not know if there is any way to remove the whole front and get at it that way. I can only suggest you gently but firmly (hows that for contradictory words) try to pry it open.
Let's see if someone else can post some suggestions.