Q:

What test would you use for my data. I think independent t-test?

I have two groups: 

Group 1, I ask them how willin to start once monthly pill and mark their response between 1-10.
Group 2, I first ask them how willin once daily pill, then I ask them once monthly. 
I want to compare: How willin would subjects be to start a once monthly pill for hypertension between the two groups. I think those I ask once daily first would be more willin for once monthly.
What test would you use for my data. I think independent t-test? I have 200 total responders.

A:

In a strict sence, the t-test is for metric data and your data (or residuals) will never meet normality assumptions. One could therefore argue, that a rank sum test was more appropriate and with that n, it should have good power.
On the other hand, the t-test is pretty robust at n=200 and it is better known in some audiences.
It is a borderline case, in which both possibilities can be defended. If you might have to defend it against someone very strict, a rank sum test may be advantageous.

