I\'m running Xcode 11.0 on macOS Mojave (10.14.6) and though the iPhone SE is officially supported on iOS 13, it doesn\'t appear in the list of simulators.
<Xcode 11 doesn't automatically add every possible simulator. But you can add an iPhone SE iOS 13 simulator.
In Xcode, click on the Window menu and select Devices and Simulators. Select the Simulators tab. Tap the + in the bottom-left corner. Give the new simulator a name. Select iPhone SE as the device type. Enter iOS 13 as the OS Version.
Now you have what you need.
Also can be useful. The problem may be in your project preferences. If downloading simulators didn't work, try this. Open you project in Xcode -> Choose your project on the Navigator which is on the left side Navigator
Then in the Deployment Info in target tab choose IOS version for your project (choose 10 or 11 for all simulator displaying)
Deployment Info