Have the lighter and the adapter but the adapter won't go into the adapter - it appears that it's supposed to screw into it thanks?

I am assuming that this question is directly related to the one about the GE rechargeable lighter. The best thing to do is to take this lighter and its charger to a jewelry repair shop. Check around in your area for one who deals in antique repair. The screw threads probably were damaged and they can fix it. Another option is to search online for GE electronics and query the website for repair options. Frequently one gets good results from such inqueries.