Pellet the cells and remove any excess RNAlater before proceeding with extraction. The clean-up performed as part of the TRIzol extraction should be sufficient. Make sure you perform quality and quantity checks on an aliquot of the extracted total RNA.
yes you have to remove RNAlater before RNA extraction. No need to wash with PBS. I have used it and it is working fine. RNA quality was also good. So just check it in your case.