It is easy to remove the Angie Makes footer link image.
You would have to hide it with some custom CSS.
.site-info-brand-link {
display: none;
}
http://knowledgebase.angiemakes.com/how-to-insert-custom-css/
If you are looking to edit and change the copyright info with the Angie Makes link, follow this help article below.
Themes: Lucy & Lane, Caraway, and Other Newer Themes
http://knowledgebase.angiemakes.com/how-to-customize-your-site-info-copyright-text/
Themes: Honeycrisp, Love Me Do, Mary Kate, Meadowbrook, Jasmine, Chickaboom
http://knowledgebase.angiemakes.com/how-to-edit-your-site-info-copyright-text/