Take a look at the original sentence again:
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 transitional 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.
Go back to the sentence to try again.