I swapped the two wires and now squeezing the trigger moves the car backward and vice versa. I wish to maintain the wires that I swapped. What should I do to fix the direction? Recalibrate ESC (XLX2)? Any other way?

You need to change the program in the esc. The manual will explain how to do it.

Or, y'know, swap the wires so that it works as it should.

Ya I know but my wires look messy if I swap them back. I need to keep it clean so that I could close my shell better.

Many brands of ESC's offer the ability to switch the direction of the motor between clockwise and counter-clockwise spin through the program card. This will allow you to orient the 3 wires any which way your prefer to make things look clean and tidy.

Sensorless, swap wires. So many questions......
What brand is ESC and motor?

Again, swap only 2 wires. Fixed. I didn't understand how swapping the wires makes body not fit.
You can't make word look good on sensorless. You need sensored to make working look good.

Pictures also help too.

Earlier Brushless changing rotation of motor, by 2 wires on the motor. On upgraded TX you can change rotation on TX. By REV mode on TX. REV on ESC, Then recalabrate your ECS.

ESC model mentioned in first post. Motor model is irrelevant.

Jesus.
If you read the ESC manual, there's a programming option to reverse motor rotation.

Read it, ESC is mentioned and the why is for nicer routed cables. To me a stupid reason to create this issue, the cables are under the body so why bother?

Sounds like the cables are preventing the body from seating properly.