Hello,

What you could do is install Nginx and use it as a reverse proxy for your Wordpress website which is running inside your Docker container on port 8080.

The Nginx reverse proxy that you could use, should look something like this:

server {
  listen 80;
  server_name www.yourdomain.com; # change this

  # global gzip on
  gzip on;
  gzip_min_length 10240;
  gzip_types text/plain text/css text/xml text/javascript application/x-javascript application/xml;
  gzip_disable "MSIE [1-6]\.";

  add_header Cache-Control public;

  location / {
    proxy_pass http://127.0.0.1:8080; # change this
    proxy_buffering on;
    proxy_buffers 12 12k;
    proxy_redirect off;

    proxy_set_header X-Real-IP $remote_addr;
    proxy_set_header X-Forwarded-For $remote_addr;
    proxy_set_header Host $host;
  }


}

Also, you could take a look at this answer here on how to host multiple Docker containers one server with Nginx:

https://www.digitalocean.com/community/questions/how-to-host-multiple-docker-containers-on-a-single-droplet-with-nginx-reverse-proxy

Hope that this helps!
Regards,
Bobby