This whole 'your body can only absorb a certain amount of protein in a single sitting' thing is total bro science. Your body absorbs everything you eat. Your body can only utilize so much protein in a given period, but all the protein you eat will be absorbed. Some of that protein will just be converted into glucose and used as an energy source.
60g of protein in a single sitting is a fair amount for a female but it isn't overly excessive. I usually have 30-40g of protein per meal in my female client diet plans. If you aren't experiencing any gas or GI issues, your body is absorbing it fine.
Just make sure to read the nutrition facts on the protein supplement you are using. A lot of poor quality protein supplements have a lot of carb and fat fillers added which will add a lot of unnecessary calories to your diet. What you want to be supplementing with is a pure whey isolate. A pure whey isolate will be pretty much void of all carbs and fat. I personally use isolation from n2bm.com. Each 30g scoop has 26g protein, 1g carb and 0g fat