One option you may consider is using a portable air conditioner instead of a traditional one that requires a door. Portable air conditioners typically come with an exhaust hose that you can vent out of a window, which should work well with your situation. They are also easy to move around and do not require any permanent installation, which makes them a great option for renters.
If a portable air conditioner is not an option, you could try using a window film to reduce the heat coming in through the window. There are various types of window films available that can block heat while still allowing light to pass through.
Another option is to use a combination of a ceiling fan and a pedestal fan to create a cross-breeze. This can be a cost-effective and energy-efficient way to cool down your space without the need for air conditioning.
Finally, you may want to consider talking to your landlord about the issue and see if they have any suggestions or are willing to make any changes to the space to help with the heat. They may be able to install a shade or awning on the outside of the window, which could help to block the sun's rays and keep the space cooler.
I hope these suggestions help you find a solution that works for your situation.
Q