Review the original item:
Ryan is highly allergic to cats,
he requires at least twenty god-bless-yous every time he visits Mariko
and her seven Siamese.
You wanted to fix it this way:
Ryan is highly allergic to cats,
as a result,
he requires at least twenty god-bless-yous every time he visits Mariko
and her seven Siamese.
A comma splice occurs when you connect two main clauses with a comma alone. Ryan is highly allergic to cats is one main clause. He requires at least twenty god-bless-yous is the second main clause.
Just because you add in the prepositional phrase as a result doesn't alter the fact that you have two main clauses connected with just a comma.
You might want to consult the rules for fixing comma splices and fused sentences.