Yes it is working now ! The problem was with the SSL certificate. The security warning should not appear at all.
I followed the following steps (for the benefit of any newbies suffering like me)
I got a static ip from my ISP. Bought and linked a new domain name with my static IP by following the instructions for creating your own DSL web server here : http://www.dslwebserver.com/main/fr_index.html?/main/5-7-adapter.html
Then i got a trial SSL security certificate from here www.instantssl.com who sent a verification mail to the email address in my domain WHOIS record. And i got going in a few hours.