Does eating meat regularly correct iron deficiency?

I have an iron deficiency. My ferritin is at 5.8 and I'm almost anemic. This happened from years of basically being a vegetarian and having my period. I don't have a heavy flow (It's 4 days but the 4th day is mostly spotting). It's still blood loss though.

The only meat I've eaten over the years is hotdogs, ham sandwiches, and pepperoni on pizza. Recently I started eating ground turkey meat in the form of meatballs with pasta but it's not very often. Maybe once a week at the most and I didn't eat very much of it.

A couple days ago, I had pasta with ground turkey meatballs again but this time, I ate less of the pasta and more of the meat. I actually had a good amount of meat this time. I also had lima beans and corn with it. And I had a Vitamin C rich popsicle with it since Vitamin C helps iron absorption. I felt less shortness of breath and felt less like I was gonna pass out all night and even now a few days later, I still don't feel as out of breath as I did before that meal.

I've read that eating red meat 3 times a week with a Vitamin C rich food helps correct anemia on its own. I don't like red meat except for beef hotdogs (if that counts) but does this work with ground turkey meat? I know that heme iron from meat absorbs like 15 times better than iron from other sources. So if you eat heme iron even if it's turkey meat and not red meat 3-4 times a week would it correct this iron deficiency?

I have anxiety which prevents me from taking any kind of iron supplements and I can't handle iron infusions.