Embedding Into Your Website
The Church Online Platform is a stand alone tool/website that you do not embed into your church website.
You can customize the Church Online Platform's theme so you can make it look like your church website and/or church branding.
Here is more information on customizing your theme: https://support.churchonlineplatform.com/en/category/themes-13pijba/
You also have access to custom theming, which will require a developer. Here is more information on the advance theme editor: https://support.churchonlineplatform.com/en/category/advanced-theme-editor-w68ezh/