Hi, I’m an Audiologist. The fact that you report no change in hearing is a good sign that you probably did not damage the ear drum. As others have noted, it is likely that you have pushed wax or even part of the cotton swab deeper into the external auditory canal.
Once debris or wax gets into the bony portion of the canal, the natural self-cleaning mechanism can no longer move it toward the ear canal opening, as there are no cilia that deep in the canal. You do have the option to try using drops to help soften and remove the blockage yourself. Peroxide is sometimes recommended, but can be too drying for some; there are some oils designed for use in the ear (e.g. Miracell), and Olive or Mineral Oils have also been used as home remedies, but they are not always the best solution for all patients, either. The over-the-counter kits that you can get at drug and grocery stores have peroxide blended with other ingredients so that it breaks down the wax more effectively and also inhibits bacteria and fungus from breeding.
As others have noted, if you don’t notice improvement within a couple days, see your physician.