I am so very sorry to read about Ginger, in fact I am sitting here with tears running down my face, as I know exactly how hard the decision is to take, and then the awful period that follows after one pet is gone. My wife and I had to make the dreaded decision twice in a 6 month period. After we had to have our 19 yr old cat "Snowy" put to sleep, we spent three horrible days of nearly constant weeping and sorrow, and missed her terribly. We vowed never to have a pet again, because we couldn't face going through that again.
3 months later we were told about a kitten needing a home, so a new furry friend arrived to share our lives. 10 weeks later, he was visciously attacked by a hunting dog as he came out of his cat flap (What are the chances of that ever happening - not great!). Unfortunately his injuries were serious, he had problems walking and his pelvis was fractured and he was incontinent, so the vet gave us the with the same terrible decision to make, and reluctantly we ageed to have him put to sleep. Again we vowed never to have a pet again.
1 month later we got a 2½ year old cat from a local rescue centre. She really got our minds off our tragedies, she was talkative and well behaved and extremely loving. 14 weeks later we were again totally devastated after we found her lifeless by the side of the road, a road that has approximately 3-4 cars an hour driving through it.
We didn't give up, we got another kitten last July, and she has given us much joy. We still have all the fond memories of our other cats, and still it hurts to think of them, but Misti is another furry friend with her own personality, and who gives us a great deal of enjoyment, and hopefully gets just as much enjoyment and love from us. Maybe our bad luck has left us.
So, I know it is a really awful period that you are going through right now, and you possibly would feel a bit of a traitor to Ginger if you got a new kitten/cat, I know I did each time, but a new character in your life does help a great deal to ease the pain and bring life back to normal.