I'm no expert but I'd guess there's cambium along the edges of your bud and you will hopefully get some contact with the cambium on the tree your grafting to.
Here's a
link to a T-budding video from Penn State. It's a 3 part video.
Also if you cut off some of those trunks growing out of the ground in the same area, you might top work one of those with multiple scions. Another
link this time it's an article.