Toad doesn't run your SQL. Toad sends your SQL to Oracle, and Oracle runs your SQL.
There could be a lot of reasons that your query is slower in Oracle. Or maybe it's how you are running it in Toad.
If it is a SELECT that returns a lot of rows and you are running it with F5 (or the button circled in red), try using F9 (or the button circled in green). F9 is almost always better. I explain the differences between the two here.