I think you can 'relax' a little, SD&H, as Pierre says. TCAS will respond very quickly and should issue the approriate manoeuvre instructions. Please carry on trying to deconflict us! I would think that if it has got to a TCAS resolution the time has long since passed when you can deconflict with your head spin rates etc. I would suggest the best you can do in your 'sitiuation' is to offer traffic advice - clock position etc?