It's really anyone's guess. However most of us here think it will likely be later this year before the FSW draws restart - so probability there will be a draw by June 30th is low.
If the draw does restart in June, a score of 468 will almost certainly be too low to be selected. A large number of applicants have built up in the pool and many of us are expecting the first round of selections to be for those who have scores of 480+ (unless IRCC issues a very large number of ITAs). Subsequent draws will most likely stay 470+ for a while (again, unless IRCC issues a very large number of ITAs or very frequent draws).
There are also some fairly strong indications the federal government is going to be revisiting the EE program structure. Absolutely zero details available at this point. However this could include a switch to a NOC list (like it was before). If this happens, it's possible the FSW draws won't restart at all and they will wait until this new program is in place. Again, really impossible to say.
I would recommend you do the following:
- Take another IELTS test
- Look at other options for immigrating (e.g. PNP)
- Consider ways you can increase your score (e.g. learn French, additional education, etc.)