I can't recreate this problem, on a fresh install from today's daily I run apport-collect and I do get that "Rekonq is already running" on the output but a new tab opens in Rekonq and I can authenticate through launchpad as expected.
I can't recreate this problem, on a fresh install from today's daily I run apport-collect and I do get that "Rekonq is already running" on the output but a new tab opens in Rekonq and I can authenticate through launchpad as expected.