Hello polly, just wanted to share my experience with you...
The Consultant-led care is due to an increased risk of developing pre-eclampsia so I believe. I should imagine you will be seen more regularly to have your blood pressure & proteinurea (protein in your wee) tested to make sure you aren't developing PE. You may also have growth scans & dopplers to check the blood flow to & from the baby.
I too have pre-existing high bp (regularly 150+ / 110+) due to kidney problems, I don't know if your care will be similar to mine but I am under Consultant-led care but I do see my Community Midwives (they job-share) too. I was on Amias 4mg Candersarten (sp?) before pregnancy and was switched to Labetalol as soon as I found out, it took them a while to get the doseage right as they assumed my blood pressure would go up quite quickly and drastically - it turns out it didn't really, it has really been behaving itself apart from 2 blips where I ended up staying in hospital overnight at 28 weeks. I'm currently 34+3 and on a tiny dose of 50mg daily because it is behaving (fingers crossed it stays that way!)
Because of my pre-exisiting problems, I'm kept a really close eye on which is so reassuring, you know you're really being looked after & will be if anything does go wrong. We have had Consultant appointments at 11w, 20w, 24w, 28w, 30w, 34w and will have another two at 36w and 38w, I have also seen my CMW inbetween (currently a quick 5 minute visit twice weekly to have my bp and proteinurea checked).
I know your bp may not behave like mine but I really hope it will do for you & worrying really won't help you - you are in safe hands, I promise! :)