Hi, I'd like to help you with your question.
There could be different reasons why your spouse is withdrawn socially. They might have social anxiety or if your spouse is depressed a lot, they might have depression and need to see a therapist for treatment. Depression can affect many areas of your life, including the desire to socialize. If your spouse receives treatment, they may feel better and be able to go out with you.
However, if your spouse is an introvert and not a social person by nature, then it is fine to let them stay at home while you go out. Or you could arrange it so your spouse goes with you for a few occasions and you stay home with your spouse on a few occasions. Whatever works for the two of you.
I hope this helped you,