Recently PD and I were discussing the collection that takes place as part of a church service. When this takes place it is blessed at the altar as an offering.
Never ever attended a church where the offering is 'blessed', Rhi. Thanked for and the givers blessed, perhaps; prayer that the leaders responsible for the money's use would use it wisely, definitely. The money blessed, no.
Do offerings matter, and is there any place for them for non-theists?
I suppose it depends on what you understand the giving of offerings to be. Is it some sort of tax, or is it some sort of sign of gratitude. I recently gave my wife an 'offering' of a sizeable bunch of flowers to show my gratitude for her support and care for me over the last couple of weeks.