You can use the plugin API to add text next to your logo. There are more details from a related question here: Adding header links post vdom upgrade
For example: add this to your theme in the Header
section
<script type="text/discourse-plugin" version="0.8">
api.decorateWidget('home-logo:after', helper => {
return helper.h('div.custom-text', 'I appear after the logo');
});
</script>
You can then use CSS to target the .custom-text
div to change the position of your text.