One Nation leader Pauline Hanson's calendar is filling up with meal invitations - this time from the church whose Sunday service was gatecrashed by her anti-Islam supporters.

Father Rod Bower on Tuesday reached out to Senator Hanson in his characteristically light-hearted, public style - via a sign out the front of Gosford Anglican Church, which read: 'Pauline, how about lunch?'.

It follows an incident on Sunday when about 10 members of the Party for Freedom, an anti-Islam group that staunchly supports Senator Hanson, stormed the church and interrupted Father Bower's morning sermon. Senator Hanson has distanced herself from the incident.

Father Bower on Tuesday told Fairfax Media that Senator Hanson was yet to accept the invitation to break bread, "but let's give her time".