The skype website itself will be blocked if you are trying to access it from Belize. (so will the skype service)
I think you can do a search on the forums if you want to know more about the drama.
Best thing to do to get around this is to either subscribe to a VPN which runs about 50usd per year, or use a free service like Hotspot Shield http://www.hotspotshield.com
I use hotspot and although it may be annoying at times with its advertisements, you can't beat free.