I'm a regular customer of Amazon.co.uk. Normally, their orders do take 1-2 weeks, but my past two orders both arrived one month AFTER the estimate due date. I had both replaced, and ended up having the replacements "returned to sender" when they arrived. Yes, the replacement note said "Keep it if both arrive," but that just reeks of theft to me.
I actually sent feedback they should increase their estimated delivery date to the Philippines to prevent similar occurrences. I'd be very surprised, though, if they actually listened and that's what caused the June 1 estimated date you got on your confirmation email.