Print your own map to check the optimum direction to different parts of the world:http://ns6t.net/azimuth/azimuth.html
A dipole has a half power beamwidth of about +/- 45 degrees. The difference
between N/S and NW/SE in most cases isn't going to make a huge difference
in the number of QSOs you can make into Europe. If it is convenient to shift
the antenna, fine, but what is far more important is being on the right band
at the right time to catch the openings.
I tried the Combined HF Prediction / HAP charts from the Australian Ionospheric
Prediction Service, available here:http://www.ips.gov.au/HF_Systems/7/1
It suggests that, at the moment, 1300Z to 1700Z seems like your best time
to work Europe on 20m, with some possible openings on 17m and 15m.
If the band isn't open, no amount of fussing with your antenna is going to
enable you to make contacts. (But getting your antenna up higher may
allow the band to open sooner and last longer.)