If you get a properly lodged cease and desist via your host/registrar related to trademark or copyright (UDRP or DMCA) and you do not respond then your domain will be locked or your website or that portion of your website which is at issue shut down by your host or registrar until you respond, address the violation such as by removing the offending material, or otherwise address the claim.
I assume in this case that you failed to respond. When you fail to respond within the time limit your choices of action can become more limited, and of course whatever remedy the claimant is asking for is more or less granted via a sort of equitable relief - your domain is locked, your website hidden from display, etc. There are also certain time limits, statutory or implied, for the cease and desist notice itself. Meaning - that you need to be quick to respond but they also need to be quick to object to whatever you have going on that they donโt like.
All of this, I mean - your not responding, is the equivalent, so to speak, of being sued, served and yet not showing up in court, which can result in default judgment / default equitable relief against you. If all of this had to do with more than just the online action, and had to do with a court action, then the domains would probably already be transferred over via court order.
