It would be nice if they just got on with it, but they’ll probably check your current immunity first.

I queried my GP about shingles and MMR and had twin punctures in my arm that afternoon. But, since I'm to old to have any of the MMR vaccines, it's a full course not a booster.
I have the impression they are keen to get them done.
Achey and cross the next day, but just a bit tender in the upper arm the day after.

@anubis2814
I don't know when it changed, but the eligibility is simpler now than it used to be; between 70 and 80 instead of the tighter cohort it used to be.
I'm sorry to hear about your co-worker. It's miserable at any age, though not, I think, infectious in its own right. In