different Delivery option not visible in my website

Can you clarify what those options are? Beneath the titles Contact Support and Choose the way you want to contact Shopify Support. Screenshots would be very helpful!

When our phone support queue is at capacity, we will temporarily remove the option from that page - so that may be what you’re seeing now. You’re welcome to check back at another time, or choose the Chat option to speak with a support advisor now. Personally, I would definitely recommend this as I know you’ve been looking for a solution for quite a while now.