Well at least this isn't a question about an app icon on your ex's phone.
The icon in question looks to me like it represents a phone. The icon also looks very similar to what shows up as the icon next to my phone, when I check from my tablet to see what Bluetooth devices are available to be connected to and when my phone is nearby my tablet.
I sure hope you aren't trying to connect by Bluetooth to your ex's phone when/if they don't want you to do that?
Or, are we to assume that device/icon keeps showing up in the list of available Bluetooth devices to connect to, even though your ex and their phone are nowhere nearby?