Create an exception?

Yeah, you could hook into the sbtt_button_markup filter and return an empty string if on the home page. In your theme’s functions.php add the following:

add_filter( ‘sbtt_button_markup’, ‘my_sbtt_filter’ );
function my_sbtt_filter($button_markup) {
if (is_front_page()) {
return “”;
} else {
return $button_markup;
}
}

Alternatively, you could add the following to the advanced css text field in the admin settings panel. Substitute {home page container parent identifier} with a css selector of a parent element on the home page. Usually WordPress themes add a post/page class to the body element, that would be a good selector to use.

{home page container parent identifier} .scroll-back-to-top-wrapper.show {
display:none!important;
}