I have no emotions. What's wrong with me? Babyblues?

Apathy. The lack or absence of emotion can be associated with a number of things commonly including depression among many others. Most often this is treatable and can be improved after evaluation by a physician. The sooner you see someone the sooner your present condition can possibly improve. Best of success to you.
Trauma? One symptom of post-trauma stress disorder is numbing or feeling like one doesn't have any feelings. Another possibility is that growing up you did not receive the psychological space to have feelings as a child and consequently you don't know what you are feeling. This can also be a side effect of medication or being in shock from a loss of a loved one/ grief. Some ideas to consider.