I too had an emergency c-section with my first child, my daughter.
I had a c-section as well, planned, for my 2nd child.
It was fine. In fact the 2nd time around it was easier, and better recuperation and less pain.
YES, you will love your 2nd child just as much as your first child. Love knows NO bounds. I worried about that too, when I was pregnant the 2nd time. But, don't worry. Love is just that... and it will come naturally and be fine.
As for your current child, depending how old she is... what I did was I spent a LOT of time, prepping my eldest child for the 2nd baby. Every month I took photos of my growing belly WITH my daughter... it was a special thing we did. I talked to her about it, and she'd hug my belly... I told her about how Mommy's tummy will get bigger as baby grows, and I may get tired.. and need to rest.... that I have to take care of baby too... and her. But she is my FIRST "baby" and that will never change. Mommy loves her no matter what and she is "special" because she is the oldest.
I also took her to all my pre-natal visits... which the Doctor encouraged.. .and the Doctor even taught my Daughter how to put the doppler heart thing on my tummy to hear the heartbeat. So this was special for her... and it incorporated her INTO the process. We bought things for baby, together... and I just spent a lot of time prepping my daughter about it all. I ALSO explained to her, in simple terms, what a baby is... and what to expect when her baby brother came home... that a baby will cry and wake at night... but that its okay... because that's what babies do... but that it is not her responsibility nor does she have to "worry" because MOMMY will take care of baby and wake at night to feed him etc. This helped my daughter a lot... because then it was not all a "shock" when her baby brother came home. Because I explained what will happen/what happens/ and what to expect... once the baby came home.
We also spent a lot of time with her, one on one... once her baby brother came home... KEEPING her own routines... so that she did not feel ousted by the baby, or left out etc. This is very important. I also let her "help" me too, which made her feel a part of everything.
Having a 2nd child, a sibling, is a big change for the eldest child. But keep all "expectations" upon the eldest child, age appropriate. If you suddenly expect the eldest child to be perfect and good and "grown up"... it will put stress on them too. Because they are still just a child, and they need to adjust too... to their changed home/life/place in the family. For me, I spend a lot of extra time, on my daughter, even though I had a 2nd baby. And yes, it was busy. And I made sure that HER things, were just that- hers. I did not force her to suddenly "share" everything. A child needs to know that, and per their developmental age... they need to have their things understood.
It will be fine! I worried about the same things as you, when I was pregnant with my 2nd child. Just spend a lot of time with your 1st child... so that the transition and adaption will be helpful for that child too. And if regression occurs, this is also normal too... when a 2nd baby comes along. It brings a lot of varying emotions... and a child needs help with that, understanding. I often just talked to my daughter about her baby brother.. .so that she could express herself about anything.
Also make sure, that before the 2nd baby comes home.. that you AND Hubby clearly make sure that he helps you too. With 2 kids... its busier. So, he will have to help more. For example: you will need to tend to the newborn putting him/her to sleep & naps... so with your eldest child, who will put her to nap/sleep? Bathing? Cooking? Laundry? Cleaning? Feedings? Sometimes a man doesn't think of all those things.. so make sure you and Hubby decides who does what. That way, it will be less stressful, AND it will promote more peace of mind and for your eldest child as well. Making sure to allot special one on one time with your eldest child as well.
Congrats! A Mom's love is vast and never ending.
All the best,
Susan