The tail you are describing - joined at the top and open at the bottom.... looking like a Y ....is commonly called a "Tripod" tail. It used to be considered a mite more acceptable in the past, but now, for show fish, is a very LARGE fault if not a disqualification.
Tail abberations are common - fry within a single spawning will have a very wide range of body types. You may see single tails, tripod tails, tails that have one side large and the other tiny, tails that are spread out flat instead of upright. That is where culling and selection comes in.
A tripod tailed fish can ba a BEAUTIFUL fish, though. So, depending on what you wish the fish to do/be, you may have no reason to worry about the tail conformities.
Generally, what you see is what you get. A fused tail will not unfuse. A bump in the back will only get more noticeable as the fish grows. Most "abnormalities" only become more pronounced as the fish grow. Do not grow the fry out hoping that they will conform with age. They will not. Their colors will change. Their body types will not.