Sounds like maybe you were ovulating. As long as your cm is fertile there is a possibility of conceiving. Which if yours was clear not creamy then it would be classed as fertile.
As for the "window of opportunity", that's a bit more difficult. Sperm can live up to 3-5 days in the uterus but the egg survives a lot less (can remember - maybe 24hrs?).
If you are unsure of your cycles, i think it is recommended to test no sooner than 14 days after dtd to get an accurate result on your hpt.
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