Prohibited app Types - Apps that process payments outside of Shopify's checkout

https://shopify.dev/apps/store/requirements

Apps that process payments outside of Shopify’s checkout - Shopify can’t guarantee the safety or security of an order that has been placed through an offsite or third party checkout.

Our requirement is to give ability for customers to add credit cards to their profiles for recurring payments. We plan on implementing this using authorize.net API.

Will this app come under prohibited app types?

I would love to provide my recommendations for

your store based on 6 years of providing solutions for about 100.000 active Shopify merchants.

You can refer to these articles

https://help.shopify.com/en/manual/apps/unsupported-apps

Best regards,

PageFly