Poor lo! There is a lot going on here. How much is she sleeping during a typical day? What is the daily routine?
I think a 10-20 min nap is better than none. How long do you try to get her to sleep? Do you have a wind-down routine?
Also, pat/shush won't work for a 7mo. If you needed to sleep train her, you would have to do some pu/pd.