This phal does have a terminal spike. This is a "just add ice" orchid I got as a gift. Don't worry I learned not to add ice, lol. It had blooms on the terminal spike when I got it. After blooming, the spike broke above that little leaf at the top when my cat knocked it down.

Please see pics.The growth I'm talking about is growing off the terminal spike, but stuck in the leaf. I wish it would grow itself out of there.

Any ideas on what I can do to help a keiki grow?