Hi there, since this is a technical question, I've moved it over to the developer space. I hope someone in that space can help you with your question.
Not sure if I got your question clearly. But ,if you are saying you need an external API callout after a question is created then the right way of doing this would be to setup a webhook and then invoke your external API accordingly.
Here are more information on Webhooks: REST API & Webhooks - Developer Resources