Sorry bit of a novice here. I don't know what to tell you. Not tablet. Toshiba laptop. I have removed it from my apps, but it is still there - at least parts of it.
Let's try tap/hold the app until the screen turns gray. Once gray, there should be two options at the top of the screen which allows one to "uninstall" or "remove"
If it's pre installed in the device (bloatware) you can't uninstall but you can disable it! Find settings, applications find Skype and try to disable from there