Praise be to Allah.
If this sickness that is preventing you from fasting is something that is incurable, then what you have done is correct, because the one who is suffering from an incurable sickness has to feed one poor person for each day, and he does not have to do anything else.
But if the sickness is one from which you hope to recover, then if you get better you have to make up the days that you did not fast, and in this case it is not permissible for you to feed the poor when you are able to make up the fasts.
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