The friendzone isn't designated by the female, but by the male that allows himself to be put there. Going straight for the kiss is probably too forward in this situation if she really does want some time to clear her head. So I'd recommend you keep your distance, talk to her and see her once in a while. Don't get sucked into going to things like flea markets, shopping, or any other kind of "friend" activity, that is how people feel they end up friendzoned.
Give her space for another month or so, but keep talking to her every week or so, and then arrange to see her as a date. Using the word date is key so there is no confusion. If she rejects you, pull away and move on.
"All is fair in love and war." - Francis Edward Smedley