No it didn't. What it did (allegedly) force them to do, was to move their better AD aircraft north to cover BA, thereby having a valuable dilution effect on what was available to face the Task Force.
A TLAM warhead is capable of taking out most high-value targets. However, set against that is the open source knowledge that the UK has a limited number of the weapons and that the similarly limited number of boats we have can only carry a limited number of missiles themselves.
There's a slight difference between the potential for nightly Vulcan raids (potentially of multiple aircraft) sustained for weeks and a very painful, but highly intermittent salvo of TLAM every couple of weeks.