A SEO term for all the links pointing to your website. How good or bad a link profile is, will depend on both the relative value of the back links to your website, and the judgement of the SEO specialist that review it.
Generally speaking a balanced profile is a good profile, that means having a good deal of quality back links from high authority sites in your niche, such as reviews linking to a product type or an article citing you as a trusted source, along with several back links from mentions on local business registrars, blog posts and the like.
Poor link profiles typically only have links from low authority sites, and may have several broken inbound links.