That's not strictly religious, but it's not exactly secular either.

She was educated in a strictly religious and humanist fashion.

It has also allowed that the production of commercialized folk art along with the production of strictly religious items.

The high-commissioner had given the order that the service should be strictly religious and non-political.

Religious groups normally register entities under both of these categories; churches run strictly religious activities through associations of worship and operate schools and social activities under cultural associations.