Here is an answer using J.F. Sebastian's comment thanks really to him, because your index has timezone information then the operations must also be timezone aware, in your case the timezone is utc so you need to generate a utc timestamp to perform the subtraction:
In [11]:
import pandas as pd
import numpy as np
import datetime as dt
my_date = pd.datetime.today()
MyDF = pd.DataFrame({'a':np.random.randn(5)})
MyDF.index = pd.date_range('1/1/2011', periods=5, freq='H', tz='utc')
MyDF['day_differential'] = MyDF.index.tz_convert(None) - dt.datetime.utcnow()
MyDF
Out[11]:
a day_differential
2011-01-01 00:00:00+00:00 1.399602 -1493 days +13:04:06.875715
2011-01-01 01:00:00+00:00 -1.962517 -1493 days +14:04:06.875715
2011-01-01 02:00:00+00:00 -1.574531 -1493 days +15:04:06.875715
2011-01-01 03:00:00+00:00 -0.224702 -1493 days +16:04:06.875715
2011-01-01 04:00:00+00:00 -0.800772 -1493 days +17:04:06.875715
You can find out if your index is timezone aware by ouputting the index:
In [12]:
MyDF.index
Out[12]:
<class 'pandas.tseries.index.DatetimeIndex'>
[2011-01-01 00:00:00+00:00, ..., 2011-01-01 04:00:00+00:00]
Length: 5, Freq: H, Timezone: UTC
compare with a non timezone aware index:
In [14]:
MyDF.index
Out[14]:
<class 'pandas.tseries.index.DatetimeIndex'>
[2011-01-01 00:00:00, ..., 2011-01-01 04:00:00]
Length: 5, Freq: H, Timezone: None