Hi there!
I had a customer today who had a similar query to this and I came across this post that did not have the suggestion that I gave him. I thought it may be helpful to give you a workaround that worked for my customer. He wanted the contact’s website to be hyperlinked to a CTA in an email however this is currently not possible so what we did was add an image module to the template, used an image he created (by the snipping tool) for the CTA. Within the ‘Link URL’ of this module we put {{contact.website}} which worked for what he was trying to do. I am hoping this may be helpful for some of the issues that you may be facing!