You can use Blush's illustrations on your branding, marketing, and social media as much as you want.
You can't trademark a Blush illustration, since that's already under Blush's license. If you're just looking for something temporary, and you don't care about trademarking your logo, then you can, in theory, use an illustration as your logo. But you cannot copyright the graphic.
To create a logo, we recommend you try to do something original and hire a graphic designer who can help you making it a reality!
For more information about our license, check out this page.