I used to invite friends around many years ago (maybe once a month or so,) when the kids were small (pals from kiddie groups and who I met in the playbarn etc.) We would chat and have coffees whilst the kids played in the pool in the garden, or in the sandpit. My kids don't live at home now, so I can't envisage any situation why I would need or want to invite anyone (other than close family,) into my home.
I don't like people in my house. I like my privacy, and I hate having people around because after an hour I just find myself looking at the clock, and thinking 'when are they going to leave?'
If I want to meet anyone, I will meet them at a coffee shop, or at the pub. That way, I have control over when I get to detach myself from their company.
I don't like going to other peoples houses either; I never feel comfortable and always feel awkward. A couple of people we know have invited us for a meal (a colleague of my husband and his wife, and the parents of the partner of one of our adult children,) and we have not accepted or arranged anything yet.
Thing is, we went for a meal about a year ago, after this one couple asked us about TEN TIMES to come to their home for a meal. We went in the end to shut them up. Within days they were asking when they could come to ours for a meal.
We have not asked them. A year on, they hardly speak. I heard from a mutual acquaintance that they were offended and miffed that we never asked them to ours for a meal.
If you have any doubts OP, then don't ask her around to your home yet. Thing is, may you set a precedent that you find hard to shake.