I think the worst outcome here both for yourself and your daughter would be to give up work. Quite a number of people get advice that they are better off not working but in most cases that advice is wrong. You certainly won't qualify for full rent supplement but it may be possible to qualify for some.
I think you should ask a CWO what you might qualify for. Gipimann can correct me if I am wrong here but my understanding of the RS means-test is that you take your gross income €458.20, subtract the 225.80 referred to above, less reasonable travel to work costs (say 10), less any PRSI you pay (I’m guessing none), less a standard allowance of €75. Say this comes to €134. You calculate 25% of €134 and subtract this from €134. This comes to about €100. You then add a standard minimum payment of €24, giving €124. This is the weekly contribution you would have to make to rent. (There are other factors, such as savings, that could affect this means test)
If the rent was higher than €124, the rent supplement would cover the balance up to a certain cap depending on where you live. In many areas you will be above this cap and won’t qualify for any support but in some areas, notably the cities and the counties around Dublin you might qualify for some rental support. Again, I think you need to run this by a CWO to be sure.