[codingdave]

If it is possible without telling us any more about your conditions than you want us to know, it would help to know what the blocker is that prevents more than 2-3 hours of work per day. Because the answers to the type of work we recommend are going to be different if it is a physical limitation of being up and around vs. a mental limitation based on stress or cognitive endurance, etc. Answers will be different if you need 20 hours of recovery after 2-3 hours vs. 2 hours of recovery.

[ayamabi]

After some trauma I get tired cognitively really easily now, it's hard for me to concentrate for more than 2 hours.

[em-bee]

could you manage two hours in the morning and two in the evening or are you done for the day? either way, two hours a day should be enough to earn 300$ a month if you can find work.

that's quite a low hourly rate, so you should even be able to find jobs at upwork and similar platforms.

apart from that, find sites where you can sign up and where people hiring can find you.

post on hackernews "who wants to be hired" https://news.ycombinator.com/submitted?id=whoishiring

it may take a while to find something, but it's low effort. same goes for some other sites. sign up where you can and see if you get offers.

describe what work you can do, and tell that you are looking for only 2 hours a day, 10 hours a week of work. don't explain why. for a side job 2 hours a day is normal, so noone will consider it unusual that you can only do 2 hours. they don't need to know the real reason.

when you have the time and energy then go back to those same sites and actively look for work you could do.

codementor for example. it's easy to sign up and depending on the skills you offer you'll get people contacting you. i get about one request per month, which is not enough for me to live on, but it might just be enough for you.

and considering your situation, i would also look at mechanical turk. the pay is low, but the tasks are simple and they may just be the kind of thing that you can do without making you tired. i could be wrong, but give it a try.