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I’m going to elaborate a little on my play left-handed comment. Sorry if I go a little too deep into neuroplasticity and the brain.
It should not matter which hand you learn to fret with. It is a new skill that your brain has never encountered. The brain learns new skills through focused activity and repetition. When these two things occur it actually changes the neural pathways in your brain and creates routines in your subconscious. Many people refer to this as “muscle memory”. You could learn to play with your feet for that matter, it doesn’t matter to the brain. The key is to have focused regular practice for the skill you want to learn.
You could learn to modify chord shapes to accommodate your injury, the challenge is that you will be somewhat on your own trying to figure out those modifications, as most lessons make assumptions about chord shapes. As you learn music theory and the fretboard modifications will be come much easier, but it is probably 6-9 months into your guitar journey and it’s going to be frustrating getting there.
Justin of JustinGuitar, has played his guitar right-handed for 30+ years, but to validate his beginner course he went through the lessons playing left-handed (they are documented on YouTube under Nitsuj, Justin spelled backwards). He had the same struggles as any beginner but eventually developed the “muscle memory” in order to play proficiently left-handed. So it’s not impossible, it’s just what you practice.
There is a great book on how the brain learns and talks about learning stringed instruments, “The Laws of Brainjo” by Turknett. Highly recommended for understanding the process of learning a new skill like the guitar.