Yes, they sure do! And for free!
As of January 1, 2019, all data that passes through Transistor is securely encrypted using SSL (specifically, TLS v1.2), including your podcast website with your own domain name – for no extra cost.
Simply configure your Transistor website to use your custom domain name, and then visit https://www.yourdomain.com and everything will be served securely. No additional configuration is needed.
We're leveraging Let's Encrypt to make this happen – a free, automated, and open Certificate Authority. Initial certificate generation and all subsequent renewals are handled automatically. You can just set it and forget it!