G, You want to write your W a letter because YOU do not wan to stop showing her love, which you don't want to stop, because you want her to reciprocate?
Yes, you would put her much farther away. MUCH. Because this is not what she wants. You are trying to get what you want from someone who doesn't want to give it to you.
You need to learn to love yourself. Yes, I get it, we all miss being loved, hugged touched, but trying to get it from someone who doesn't want to give it isn't going to make your feel loved.