I am somewhat confused.

Did she applied for a visitor visa to enter Canada? If yes was it denied? Why?

If it was denied, why can’t you fly to phillipines to meet her?

You don’t need any visa. I can buy a ticket and fly to Manila tomorrow. What’s the issue? Why discuss family issues before you even met. If you haven’t met everything else is a moot point. Why does your family need to Skype with strangers if you two haven’t even ever met? It’s unusual request. You are talking to someone online. Typically family and friends don’t get involved until a couple actually knows each other in real life (unless it’s on tv in 90 days fiancée tv show).

Just buy a ticket and fly (some areas are dangerous there but Manila could be ok)see if it is even worth all this. Whose approval are you referring to? You don’t need anyone’s approval to visit Phillipines