macbook air USB-A to HDMI

StarTech has some USB3 adapters that can then connect to a monitor

            USB 3.0 to HDMI         - 1920x1200 (USB32HDPRO) (I've seen this working)

            USB 3.0 to DisplayPort  - 4K 60Hz   (USB32DP24K60) (Dual Monitor)
            USB 3.0 to HDMI Adapter - 4K 30Hz   (USB32HD4K)
            USB 3.0 to DisplayPort  - 4K 30Hz   (USB32DP4K)
            USB 3.0 to DisplayPort  - 2560x1600 (USB32DPPRO)
            USB 3.0 to DVI          - 2048x1152 (USB32DVIPRO)
            USB 3.0 to VGA          - 1920x1200 (USB32VGARO)
            USB 3.0 to VGA          - 1920x1200 (USB32VGARO2)
            USB 3.0 to DVI          - 1920x1200 (USB32DVIPRO2)

Try Amazon.com.

FYI: These are user-only forums. You are not speaking to Apple. if you need to speak with Apple Support, then contact product and tech support:  Contacting Apple for support and service including international calling numbers.

Thank you for your understanding and support.

Apple offers Thunderbolt and here technically mini DisplayPort to HDMI adapters.

Search for HDMI here: MacBook Air (11-inch, Mid 2013) - Technical Specifications

You can always get a USB-A to USB-C adapter.