... So sorry, my bad!
Yes, you are quite bad. May I remind you about common decency and manners. Your attempt at sarcasm distracts from the ideas that are being discussed. They draw unnecessary attention to your own lack of knowledge and understanding. A better way to express your own thoughts and ideas would be to say: "I do not understand the differences between a character indication and a tempo indication. Please explain and help me understand."
Very well, since you asked very nicely.
A tempo indication, like allegro, adagio, moderato, etc,. refers to the speed of a piece. It is used to help the pianist interpret the music from primarily a speed perspective.
A character indication, like appasionato, tranquillo, languido, etc. refers to the mood of a piece. It is also used to help the pianist interpret the music from primarliy a mood perspective.
In both cases, each implies the other. However, the main difference of interpretation is that tempo primarily refers to speed whereas character implies the manner of performance which includes speed, dynamics, phrasing, and articulation. With a character indication, it is not usually necessary to indicate a tempo.
There are many pieces without a tempo or character indication. In these instances the composer assumed the tempo and character were obvious and assumed the performer would be able to figure it out. (J.S. Bach comes to mind, as well as Chopin.) However it does not mean the performer has free reign over the notes. Quite the contrary. In these cases, the performer must be even more thoughtful because there is more room for error.