If you are thinking of homeschooling, research the homeschool support groups in your area. If there aren’t any Catholic grade schools, there will hopefully be a thriving Catholic homeschool group. That group may have regular playdates or preschool level activities. You could also offer to start a play group that meets during a time that older kids are also doing a group activity (science labs or whatever).
Your daughter will get play time, you will be making new family friends, and hopefully getting good advice and ground work for actual homeschooling when you start.
You can also plan rounds of library story hours or park programs to substitute for preschooling.
Like a prior poster, we did send our kids to a 2-day a week preschool. They loved it. We started with our oldest to give me a bit of quiet time with the new baby. (Totally not *necesssary *I know, but it was nice to have and dd loved her school time.) It was a Lutheran school but we liked the program and the people who ran it. There was no odd theology going on - just Bible stories and “Jesus loves me” type songs.
There is absolutely no need to send a normally developing child to preschool. However, I obviously don’t think it is always a bad idea. I do think it is a decision each family should make without outside pressure and might make differently for different children.
In fact, all schooling decisions should be like that: made with the dynamincs of that particular child and current family situation in mind, with much prayer, and totally without outside pressure (asked for advice is different). We made different decisions for each child and revisited them every year - not to change them necessarily but to confirm that everything was going as planned.