Isiah 54:5 is telling us that God is our maker and redeemer. He is like a husband who cares for his wife and offers comfort.
The verse is telling us that God offered comfort and hope to the people of Israel after a period of desolation and exile.
God was the creator and sustainer then and still is now
God is faithful and loving, he want to protect and care for us
God has all power and authority as the ruler of all creatin and the heavenly hosts
God rescues and restores
God is the only one who can redeem his people through Jesus
God is sovereign and has dominion over all creation
The people Israel were desolate and forsaken but the author tells us that God will restore Israel and be faithful to the people. God can do and will do the same for us today.