Single female college professor with remaining student loan debt - looking to buy a house. What to do?

I am a 33 year old single female, yearly income appx $45,000. I have rented for 10 years now and want to buy a home. I have two student loans ($20k total) and a car payment ($9k still owed). Not much in savings. Credit score not great from a divorce. I have no idea how to start going about seeing if I can get a loan. Suggestions on steps to take would be welcome.

Can they denied you a home loan if you already have a student loan?

Im trying to purchase a home but already have a student loan?
My loan is deferred, Means i dont have to pay for it because im still going to school.

How do you go about consolidating PRIVATE student loan debt with a home mortgage?

We are looking for a home about $150,000 and we have about $70,000 in Private student loan debt at 7%.

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