The Llama Badges(which are free to give) are traded between Members.Many members collect them as they change in appearance ,the more of them you have.
You can only give 1 to any given person and they are given to thank someone,to ask them to give you one in return and/or to draw attention to your Profile Page
To give one simply go to the page of the person you're giving it to and click on the Llama icon in the upper right corner of their profile page
Then click the "give" button,then the give Llama Badge button and follow the prompts
I hope this is helpful
And thank you so much for your latest Fave