Only valid form of apologizing in findom is sending. Begging Goddesses to forgive you without attached tribute only shows that you still did not learn rules. If you feel sorry, you will not hesitate to hit send button.
If you get blocked by Goddess, there is reason behind that. You were annoying or failed to meet her requirements and demands. Best way to behave is to consistenly send and listen her directions without overcomplicating things. It is not that hard.