Hi D., I had my first and only child at age 38 and was living far from my family. It's a big responsibility and especially if you are parenting alone some/much of the time (I understand the traveling spouse situation, too,as now that baby is a teen and we face new challenges).
Anyway, here are a few ideas that have not been mentioned. First, I too am a Christian and know there is no way that I can raise this child without God's help! Stormie Omartian has written several wonderful Christian books and one that is always near my nightstand it "The Power of A Praying Parent". It's a book that will offer you comfort, prayers and peace about the things we worry about in the course of raising our precious children.
She has also written many other excellent books that tell her own stories as well as offer me lots of reassurance and peace. "Just Enough Light for the Step I'm On" is one that I often give to friends who are facing tough times.
Others have suggested some time for yourself before bed to relax and I agree. I like to read some Christian material before I go to sleep so THAT's what is in my mind as I drift off.
Another suggestion, based on personal experience, is that having a group of other moms to spend time with and relate to on a regular basis, especially if/when your husband is traveling, will help ease your mind. When I had my son, I was older than the other mothers I knew. Finding and talking with some other moms really helps! Maybe there is a Mothers Day Out program at your church or you might check out "MOPS". I found a two-year-old preschool program at a church and made older-parent friends that I still have to this day.
Our husbands, as much as we love them, don't necessarily "get it"; mine is great but often needs guidance with our son because he is so preoccupied with work...so having some mom-friends you can talk to will help you feel less isolated.
When I've had dreams like you suggest, I know I'm tring to tell myself something in my subconscious (I remember one VERY frightening dream that repeated itself but eventually stopped.) Maybe you are feeling so responsible for your daughter that you are afraid of forgetting about her or losing her, as your dream literally suggests.
If your husband is gone a lot you may feel that you are doing this alone most of the time. Do you have resources to find someone to help you now and then so you can get away a little now and then and give you some advice/help with your daughter?
Also, rather than to try medication first, maybe you can talk to a therapist who can reassure you. I bet you are a GREAT mom but parenting is all new--and truly, the hardest job I've ever had.
Lastly--sleep deprivation is really tough so that could also be making you feel less that your best and even more worried. Can you sleep when your baby sleeps and when your husband is home, take a nice long nap? This will pass with time when your daughter starts sleeping longer.
D., I can never have enough friends so sometime, if you'd like to talk to another mom who has been there, please feel free to email me. I'll keep you in my prayers in the meantime.