Lesser Domain is ambiguous. I presume it means you add the domain spells to your spellbook for free and can prepare one of them each day "in excess" of your usual maximum prepared spells?

The level 10 feature is strange, to say the least. Wizards cast based on Intelligence, if you let them learn spells from the cleric list, they still cast them with intelligence.

More often than not, that feature does nothing because you will have spent 9 levels using and most likely pumping intelligence, suddenly changing to wisdom would be at the very least troublesome.

I would recommend changing the level 10 feature simply to full access to the domain spells without the need to prepare them.