The profile originally had a picture of a girl, but the picture disappeared when I sent the instant message. I blocked and reported the account when the bot responded. Has anyone else received a message from that account or instructions to go to that site? Is this a well-known scam like the others (such as Friendjungle) to get credit-card information?
most likely it is a scam, or at least an annoying strategy to promote that particular site. you indeed made the correct action of blocking the user and reporting them to skype. you can also set your privacy settings to allow messages (and calls) from people in your contact list only, to avoid receiving such unwanted communications in the future.