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Normally Levlan is taken on the first Sunday following your period. If your period starts on a Sunday then you are to take the pill on that Sunday itself. Alternatively it is taken from the first day of the period. So the effect will not be complete if it is taken on any other day.
Normally an alternative contraception like condoms should be used for the first month as the contraception is not complete the first month.
Also since you vomited within an hour there is a chance you vomited the pill. Also you did not repeat the pill. So if the unprotected sex occurred around your ovulation time, there is a chance you can be pregnant.
You should now wait for the expected date of next period and if you miss the period take a pregnancy test. Please follow the instructions given for the birth control pills as advised in future. Hope this helps. Take care!
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