I will be 44 in August and my husband will be 46 in September. We finalized the adoption of our foster son in October. He will be 2.5 at the end of this month. From time of placement to adoption was 21 months which consisted of a variety of court dates, visitation with bio parents and, yes, some trauma because of visitation and some stress for all of us. He is our only child at this point, but the phone could ring anytime with another placement. We have many members of our foster parent group who might be considered older parents - 40+.
Some adoption agencies may in fact balk at your ages ..... Foster-to-adopt programs will not. With most, you can tell them what you're looking for (age, race, even gender) and whether or not you'd consider a child who's still in the process (parental rights not yet terminated) or not.
Nia Vardalos (My Big, Fat Greek Wedding fame) and her husband adopted their daughter through a foster care program. She recently released a book about it called "Instant Mom". Good info in there.
Don't worry about your age .... You've still got so much to offer. Every family builds their family their way. As long as you are confident in your choices, others will respect them.